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96881152 = 291923433
BaseRepresentation
bin1011100011001…
…00101000000000
320202022001221211
411301210220000
5144300144102
613340255504
72254322224
oct561445000
9222261854
1096881152
114a761275
1228541594
13170c1034
14cc1c784
15878a7d7
hex5c64a00

96881152 has 80 divisors (see below), whose sum is σ = 213111360. Its totient is φ = 43794432.

The previous prime is 96881149. The next prime is 96881159. The reversal of 96881152 is 25118869.

It is a super-2 number, since 2×968811522 = 18771915225694208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (96881159) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223528 + ... + 223960.

It is an arithmetic number, because the mean of its divisors is an integer number (2663892).

Almost surely, 296881152 is an apocalyptic number.

96881152 is a gapful number since it is divisible by the number (92) 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 96881152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106555680).

96881152 is an abundant number, since it is smaller than the sum of its proper divisors (116230208).

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

96881152 is a wasteful number, since it uses less digits than its factorization.

96881152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 477 counting only the distinct ones).

The product of its digits is 34560, while the sum is 40.

The square root of 96881152 is about 9842.8223594658. The cubic root of 96881152 is about 459.2823592600.

The spelling of 96881152 in words is "ninety-six million, eight hundred eighty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 128 152 184 256 304 368 433 437 512 608 736 866 874 1216 1472 1732 1748 2432 2944 3464 3496 4864 5888 6928 6992 8227 9728 9959 11776 13856 13984 16454 19918 27712 27968 32908 39836 55424 55936 65816 79672 110848 111872 131632 159344 189221 221696 223744 263264 318688 378442 526528 637376 756884 1053056 1274752 1513768 2106112 2549504 3027536 4212224 5099008 6055072 12110144 24220288 48440576 96881152