Search a number
-
+
4589941248 = 29331719531
BaseRepresentation
bin1000100011001010…
…01111001000000000
3102211212210011201000
410101211033020000
533400011104443
62035242212000
7221512566624
oct42145171000
912755704630
104589941248
111a459a1882
12a811b4000
13581c07a89
1431783d184
151bce578d3
hex11194f200

4589941248 has 160 divisors (see below), whose sum is σ = 14386489920. Its totient is φ = 1439907840.

The previous prime is 4589941243. The next prime is 4589941259. The reversal of 4589941248 is 8421499854.

It is a happy number.

4589941248 is a `hidden beast` number, since 4 + 589 + 9 + 4 + 12 + 48 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4589941194 and 4589941203.

It is not an unprimeable number, because it can be changed into a prime (4589941241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225243 + ... + 244773.

It is an arithmetic number, because the mean of its divisors is an integer number (89915562).

Almost surely, 24589941248 is an apocalyptic number.

4589941248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4589941248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7193244960).

4589941248 is an abundant number, since it is smaller than the sum of its proper divisors (9796548672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4589941248 is a wasteful number, since it uses less digits than its factorization.

4589941248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19575 (or 19553 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 4589941248 is about 67749.1051453818. The cubic root of 4589941248 is about 1661.8903862335.

The spelling of 4589941248 in words is "four billion, five hundred eighty-nine million, nine hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 256 272 288 306 384 408 432 459 512 544 576 612 768 816 864 918 1088 1152 1224 1536 1632 1728 1836 2176 2304 2448 3264 3456 3672 4352 4608 4896 6528 6912 7344 8704 9792 13056 13824 14688 19531 19584 26112 29376 39062 39168 58593 58752 78124 78336 117186 117504 156248 175779 234372 235008 312496 332027 351558 468744 527337 624992 664054 703116 937488 996081 1054674 1249984 1328108 1406232 1874976 1992162 2109348 2499968 2656216 2812464 2988243 3749952 3984324 4218696 4999936 5312432 5624928 5976486 7499904 7968648 8437392 8964729 9999872 10624864 11249856 11952972 14999808 15937296 16874784 17929458 21249728 22499712 23905944 29999616 31874592 33749568 35858916 42499456 44999424 47811888 63749184 67499136 71717832 84998912 89998848 95623776 127498368 134998272 143435664 169997824 191247552 254996736 269996544 286871328 382495104 509993472 573742656 764990208 1147485312 1529980416 2294970624 4589941248