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93412864 = 29374931
BaseRepresentation
bin1011001000101…
…01111000000000
320111202212100201
411210111320000
5142403202424
613134054544
72212665466
oct544257000
9214685321
1093412864
1148802516
122734a454
13164784ac
14c598836
158302d44
hex5915e00

93412864 has 40 divisors (see below), whose sum is σ = 191726568. Its totient is φ = 45434880.

The previous prime is 93412861. The next prime is 93412897. The reversal of 93412864 is 46821439.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93412861) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16479 + ... + 21409.

Almost surely, 293412864 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 93412864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95863284).

93412864 is an abundant number, since it is smaller than the sum of its proper divisors (98313704).

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

93412864 is an equidigital number, since it uses as much as digits as its factorization.

93412864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4986 (or 4970 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 93412864 is about 9665.0330573672. The cubic root of 93412864 is about 453.7349459093.

The spelling of 93412864 in words is "ninety-three million, four hundred twelve thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1184 2368 4736 4931 9472 9862 18944 19724 39448 78896 157792 182447 315584 364894 631168 729788 1262336 1459576 2524672 2919152 5838304 11676608 23353216 46706432 93412864