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96840864 = 2532336253
BaseRepresentation
bin1011100010110…
…10110010100000
320202020000200200
411301122302200
5144242401424
613335345200
72254063611
oct561326240
9222200620
1096840864
114a733a7a
1228522200
13170a88b3
14cc0bc08
15877d8c9
hex5c5aca0

96840864 has 36 divisors (see below), whose sum is σ = 275392026. Its totient is φ = 32280192.

The previous prime is 96840827. The next prime is 96840881. The reversal of 96840864 is 46804869.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 95648400 + 1192464 = 9780^2 + 1092^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 167839 + ... + 168414.

Almost surely, 296840864 is an apocalyptic number.

It is an amenable number.

96840864 is an abundant number, since it is smaller than the sum of its proper divisors (178551162).

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

96840864 is a wasteful number, since it uses less digits than its factorization.

96840864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336269 (or 336258 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 96840864 is about 9840.7755791909. The cubic root of 96840864 is about 459.2186862861.

The spelling of 96840864 in words is "ninety-six million, eight hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 336253 672506 1008759 1345012 2017518 2690024 3026277 4035036 5380048 6052554 8070072 10760096 12105108 16140144 24210216 32280288 48420432 96840864