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93993312 = 2537139871
BaseRepresentation
bin1011001101000…
…11100101100000
320112212100120210
411212203211200
5143030241222
613154334120
72220633660
oct546434540
9215770523
1093993312
1149069626
122758a340
131661c75a
14c6aa1a0
1583b9d0c
hex59a3960

93993312 has 48 divisors (see below), whose sum is σ = 281981952. Its totient is φ = 26855040.

The previous prime is 93993311. The next prime is 93993337. The reversal of 93993312 is 21339939.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93993311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69264 + ... + 70607.

It is an arithmetic number, because the mean of its divisors is an integer number (5874624).

Almost surely, 293993312 is an apocalyptic number.

It is an amenable number.

93993312 is an abundant number, since it is smaller than the sum of its proper divisors (187988640).

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

93993312 is a wasteful number, since it uses less digits than its factorization.

93993312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139891 (or 139883 counting only the distinct ones).

The product of its digits is 39366, while the sum is 39.

The square root of 93993312 is about 9695.0148014327. The cubic root of 93993312 is about 454.6728107039.

The spelling of 93993312 in words is "ninety-three million, nine hundred ninety-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 139871 279742 419613 559484 839226 979097 1118968 1678452 1958194 2237936 2937291 3356904 3916388 4475872 5874582 6713808 7832776 11749164 13427616 15665552 23498328 31331104 46996656 93993312