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96612864 = 293312029
BaseRepresentation
bin1011100001000…
…11001000000000
320201210102221020
411300203020000
5144213102424
613330425440
72252124105
oct560431000
9221712836
1096612864
114a598747
1228432280
1317028b9a
14cb8caac
158736079
hex5c23200

96612864 has 80 divisors (see below), whose sum is σ = 265816320. Its totient is φ = 31150080.

The previous prime is 96612847. The next prime is 96612877. The reversal of 96612864 is 46821669.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46602 + ... + 48630.

It is an arithmetic number, because the mean of its divisors is an integer number (3322704).

Almost surely, 296612864 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 96612864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132908160).

96612864 is an abundant number, since it is smaller than the sum of its proper divisors (169203456).

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

96612864 is a wasteful number, since it uses less digits than its factorization.

96612864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081 (or 2065 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 96612864 is about 9829.1842998288. The cubic root of 96612864 is about 458.8580116251.

The spelling of 96612864 in words is "ninety-six million, six hundred twelve thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1488 1536 1984 2029 2976 3968 4058 5952 6087 7936 8116 11904 12174 15872 16232 23808 24348 32464 47616 48696 62899 64928 97392 125798 129856 188697 194784 251596 259712 377394 389568 503192 519424 754788 779136 1006384 1038848 1509576 1558272 2012768 3019152 3116544 4025536 6038304 8051072 12076608 16102144 24153216 32204288 48306432 96612864