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96504264 = 23332291951
BaseRepresentation
bin1011100000010…
…00100111001000
320201120220222000
411300020213020
5144201114024
613324231000
72251162353
oct560104710
9221526860
1096504264
114a52409a
122839b460
1316cbb61c
14cb6129a
158713cc9
hex5c089c8

96504264 has 64 divisors (see below), whose sum is σ = 269376000. Its totient is φ = 32011200.

The previous prime is 96504253. The next prime is 96504269. The reversal of 96504264 is 46240569.

96504264 is a `hidden beast` number, since 96 + 504 + 2 + 64 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (96504269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48489 + ... + 50439.

It is an arithmetic number, because the mean of its divisors is an integer number (4209000).

Almost surely, 296504264 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 96504264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134688000).

96504264 is an abundant number, since it is smaller than the sum of its proper divisors (172871736).

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

96504264 is a wasteful number, since it uses less digits than its factorization.

96504264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 96504264 is about 9823.6583816825. The cubic root of 96504264 is about 458.6860170574.

The spelling of 96504264 in words is "ninety-six million, five hundred four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 229 458 687 916 1374 1832 1951 2061 2748 3902 4122 5496 5853 6183 7804 8244 11706 12366 15608 16488 17559 23412 24732 35118 46824 49464 52677 70236 105354 140472 210708 421416 446779 893558 1340337 1787116 2680674 3574232 4021011 5361348 8042022 10722696 12063033 16084044 24126066 32168088 48252132 96504264