Search a number
-
+
4483141632 = 21232313923
BaseRepresentation
bin1000010110011011…
…10101000000000000
3102120102211012011200
410023031311000000
533140141013012
62020505141200
7216045034524
oct41315650000
912512735150
104483141632
1119a0686732
12a5148a800
13565a53338
1430759bd84
151b38ad3dc
hex10b375000

4483141632 has 156 divisors (see below), whose sum is σ = 13370857344. Its totient is φ = 1445806080.

The previous prime is 4483141613. The next prime is 4483141643. The reversal of 4483141632 is 2361413844.

4483141632 is a `hidden beast` number, since 4 + 4 + 8 + 3 + 14 + 1 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1140823 + ... + 1144745.

It is an arithmetic number, because the mean of its divisors is an integer number (85710624).

Almost surely, 24483141632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4483141632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6685428672).

4483141632 is an abundant number, since it is smaller than the sum of its proper divisors (8887715712).

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

4483141632 is a wasteful number, since it uses less digits than its factorization.

4483141632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3984 (or 3959 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 4483141632 is about 66956.2665625855. The cubic root of 4483141632 is about 1648.8993739840.

The spelling of 4483141632 in words is "four billion, four hundred eighty-three million, one hundred forty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 992 1024 1116 1152 1488 1536 1984 2048 2232 2304 2976 3072 3923 3968 4096 4464 4608 5952 6144 7846 7936 8928 9216 11769 11904 12288 15692 15872 17856 18432 23538 23808 31384 31744 35307 35712 36864 47076 47616 62768 63488 70614 71424 94152 95232 121613 125536 126976 141228 142848 188304 190464 243226 251072 282456 285696 364839 376608 380928 486452 502144 564912 571392 729678 753216 972904 1004288 1094517 1129824 1142784 1459356 1506432 1945808 2008576 2189034 2259648 2918712 3012864 3891616 4017152 4378068 4519296 5837424 6025728 7783232 8034304 8756136 9038592 11674848 12051456 15566464 16068608 17512272 18077184 23349696 24102912 31132928 35024544 36154368 46699392 48205824 62265856 70049088 72308736 93398784 124531712 140098176 144617472 186797568 249063424 280196352 373595136 498126848 560392704 747190272 1120785408 1494380544 2241570816 4483141632