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48989448 = 23341923173
BaseRepresentation
bin1011101011100…
…0010100001000
310102011220220000
42322320110020
5100020130243
64510003000
71133255244
oct272702410
9112156800
1048989448
1125720552
12144a6460
13a1c3451
146713424
15447a5d3
hex2eb8508

48989448 has 160 divisors (see below), whose sum is σ = 151588800. Its totient is φ = 14712192.

The previous prime is 48989441. The next prime is 48989449. The reversal of 48989448 is 84498984.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 48989394 and 48989403.

It is not an unprimeable number, because it can be changed into a prime (48989441) 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 39 ways as a sum of consecutive naturals, for example, 283090 + ... + 283262.

It is an arithmetic number, because the mean of its divisors is an integer number (947430).

Almost surely, 248989448 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 48989448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75794400).

48989448 is an abundant number, since it is smaller than the sum of its proper divisors (102599352).

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

48989448 is a wasteful number, since it uses less digits than its factorization.

48989448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 220 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 48989448 is about 6999.2462451324. The cubic root of 48989448 is about 365.9043017738.

The spelling of 48989448 in words is "forty-eight million, nine hundred eighty-nine thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 23 24 27 36 38 46 54 57 69 72 76 81 92 108 114 138 152 162 171 173 184 207 216 228 276 324 342 346 414 437 456 513 519 552 621 648 684 692 828 874 1026 1038 1242 1311 1368 1384 1539 1557 1656 1748 1863 2052 2076 2484 2622 3078 3114 3287 3496 3726 3933 3979 4104 4152 4671 4968 5244 6156 6228 6574 7452 7866 7958 9342 9861 10488 11799 11937 12312 12456 13148 14013 14904 15732 15916 18684 19722 23598 23874 26296 28026 29583 31464 31832 35397 35811 37368 39444 47196 47748 56052 59166 70794 71622 75601 78888 88749 94392 95496 107433 112104 118332 141588 143244 151202 177498 214866 226803 236664 266247 283176 286488 302404 322299 354996 429732 453606 532494 604808 644598 680409 709992 859464 907212 1064988 1289196 1360818 1814424 2041227 2129976 2578392 2721636 4082454 5443272 6123681 8164908 12247362 16329816 24494724 48989448