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96864912 = 24321739569
BaseRepresentation
bin1011100011000…
…00101010010000
320202021020200100
411301200222100
5144244134122
613340052400
72254223664
oct561405220
9222236610
1096864912
114a750051
1228534100
13170b6821
14cc168a4
158785aac
hex5c60a90

96864912 has 60 divisors (see below), whose sum is σ = 287040780. Its totient is φ = 30388224.

The previous prime is 96864899. The next prime is 96864917. The reversal of 96864912 is 21946869.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 67963536 + 28901376 = 8244^2 + 5376^2 .

It is a super-2 number, since 2×968649122 = 18765622353535488, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (96864917) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17337 + ... + 22232.

It is an arithmetic number, because the mean of its divisors is an integer number (4784013).

Almost surely, 296864912 is an apocalyptic number.

It is an amenable number.

96864912 is an abundant number, since it is smaller than the sum of its proper divisors (190175868).

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

96864912 is a wasteful number, since it uses less digits than its factorization.

96864912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39600 (or 39591 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 96864912 is about 9841.9973582602. The cubic root of 96864912 is about 459.2566949549.

The spelling of 96864912 in words is "ninety-six million, eight hundred sixty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 39569 79138 118707 158276 237414 316552 356121 474828 633104 672673 712242 949656 1345346 1424484 1899312 2018019 2690692 2848968 4036038 5381384 5697936 6054057 8072076 10762768 12108114 16144152 24216228 32288304 48432456 96864912