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93319968 = 2537138869
BaseRepresentation
bin1011000111111…
…11001100100000
320111121010221010
411203333030200
5142342214333
613132100520
72212130610
oct543771440
9214533833
1093319968
1148749745
1227304740
1316445121
14c572a40
1582d5563
hex58ff320

93319968 has 48 divisors (see below), whose sum is σ = 279961920. Its totient is φ = 26662656.

The previous prime is 93319949. The next prime is 93319969. The reversal of 93319968 is 86991339.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (93319969) 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, 68763 + ... + 70106.

It is an arithmetic number, because the mean of its divisors is an integer number (5832540).

Almost surely, 293319968 is an apocalyptic number.

It is an amenable number.

93319968 is an abundant number, since it is smaller than the sum of its proper divisors (186641952).

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

93319968 is a wasteful number, since it uses less digits than its factorization.

93319968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138889 (or 138881 counting only the distinct ones).

The product of its digits is 314928, while the sum is 48.

The square root of 93319968 is about 9660.2260843109. The cubic root of 93319968 is about 453.5844878968.

The spelling of 93319968 in words is "ninety-three million, three hundred nineteen thousand, nine hundred sixty-eight".

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 138869 277738 416607 555476 833214 972083 1110952 1666428 1944166 2221904 2916249 3332856 3888332 4443808 5832498 6665712 7776664 11664996 13331424 15553328 23329992 31106656 46659984 93319968