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96250368 = 293223281
BaseRepresentation
bin1011011110010…
…10101000000000
320201010000200110
411233022220000
5144120002433
613314551320
72246054214
oct557125000
9221100613
1096250368
114a370365
1228298540
1316c2cba6
14cad6944
1586b3963
hex5bcaa00

96250368 has 80 divisors (see below), whose sum is σ = 258483456. Its totient is φ = 31825920.

The previous prime is 96250351. The next prime is 96250387. The reversal of 96250368 is 86305269.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 342388 + ... + 342668.

Almost surely, 296250368 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 96250368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129241728).

96250368 is an abundant number, since it is smaller than the sum of its proper divisors (162233088).

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

96250368 is a wasteful number, since it uses less digits than its factorization.

96250368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 96250368 is about 9810.7271901730. The cubic root of 96250368 is about 458.2834067784.

The spelling of 96250368 in words is "ninety-six million, two hundred fifty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 223 256 281 384 446 512 562 669 768 843 892 1124 1338 1536 1686 1784 2248 2676 3372 3568 4496 5352 6744 7136 8992 10704 13488 14272 17984 21408 26976 28544 35968 42816 53952 57088 62663 71936 85632 107904 114176 125326 143872 171264 187989 215808 250652 342528 375978 431616 501304 751956 1002608 1503912 2005216 3007824 4010432 6015648 8020864 12031296 16041728 24062592 32083456 48125184 96250368