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93213664 = 2523413089
BaseRepresentation
bin1011000111001…
…01001111100000
320111101202002221
411203211033200
5142330314124
613125520424
72211205645
oct543451740
9214352087
1093213664
1148686895
1227273114
131640891b
14c545dcc
1582b3ce4
hex58e53e0

93213664 has 48 divisors (see below), whose sum is σ = 196227360. Its totient is φ = 43479040.

The previous prime is 93213649. The next prime is 93213671. The reversal of 93213664 is 46631239.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28632 + ... + 31720.

It is an arithmetic number, because the mean of its divisors is an integer number (4088070).

Almost surely, 293213664 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 93213664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98113680).

93213664 is an abundant number, since it is smaller than the sum of its proper divisors (103013696).

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

93213664 is a wasteful number, since it uses less digits than its factorization.

93213664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3163 (or 3155 counting only the distinct ones).

The product of its digits is 23328, while the sum is 34.

The square root of 93213664 is about 9654.7223678364. The cubic root of 93213664 is about 453.4121912030.

The spelling of 93213664 in words is "ninety-three million, two hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 41 46 82 92 164 184 328 368 656 736 943 1312 1886 3089 3772 6178 7544 12356 15088 24712 30176 49424 71047 98848 126649 142094 253298 284188 506596 568376 1013192 1136752 2026384 2273504 2912927 4052768 5825854 11651708 23303416 46606832 93213664