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96052968 = 233211235273
BaseRepresentation
bin1011011100110…
…10011011101000
320200201222220100
411232122123220
5144042143333
613310425400
72244302544
oct556323350
9220658810
1096052968
114a246020
1228202260
1316b9109b
14ca84a24
158675213
hex5b9a6e8

96052968 has 96 divisors (see below), whose sum is σ = 296187840. Its totient is φ = 27836160.

The previous prime is 96052967. The next prime is 96052981. The reversal of 96052968 is 86925069.

96052968 is a `hidden beast` number, since 9 + 60 + 529 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96052967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15580 + ... + 20852.

It is an arithmetic number, because the mean of its divisors is an integer number (3085290).

Almost surely, 296052968 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 96052968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148093920).

96052968 is an abundant number, since it is smaller than the sum of its proper divisors (200134872).

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

96052968 is a wasteful number, since it uses less digits than its factorization.

96052968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5319 (or 5312 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 96052968 is about 9800.6616103200. The cubic root of 96052968 is about 457.9698943490.

It can be divided in two parts, 96052 and 968, that added together give a triangular number (97020 = T440).

The spelling of 96052968 in words is "ninety-six million, fifty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 33 36 44 46 66 69 72 88 92 99 132 138 184 198 207 253 264 276 396 414 506 552 759 792 828 1012 1518 1656 2024 2277 3036 4554 5273 6072 9108 10546 15819 18216 21092 31638 42184 47457 58003 63276 94914 116006 121279 126552 174009 189828 232012 242558 348018 363837 379656 464024 485116 522027 696036 727674 970232 1044054 1091511 1334069 1392072 1455348 2088108 2183022 2668138 2910696 4002207 4176216 4366044 5336276 8004414 8732088 10672552 12006621 16008828 24013242 32017656 48026484 96052968