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93308768 = 257715867
BaseRepresentation
bin1011000111111…
…00011101100000
320111120120120022
411203330131200
5142341340033
613131533012
72212053140
oct543743540
9214516508
1093308768
1148741293
12272ba168
131643ccb7
14c56c920
1582d2098
hex58fc760

93308768 has 48 divisors (see below), whose sum is σ = 212937984. Its totient is φ = 39419520.

The previous prime is 93308759. The next prime is 93308773. The reversal of 93308768 is 86780339.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12971 + ... + 18837.

It is an arithmetic number, because the mean of its divisors is an integer number (4436208).

Almost surely, 293308768 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 93308768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106468992).

93308768 is an abundant number, since it is smaller than the sum of its proper divisors (119629216).

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

93308768 is a wasteful number, since it uses less digits than its factorization.

93308768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5955 (or 5947 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 93308768 is about 9659.6463703388. The cubic root of 93308768 is about 453.5663411928.

The spelling of 93308768 in words is "ninety-three million, three hundred eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 71 112 142 224 284 497 568 994 1136 1988 2272 3976 5867 7952 11734 15904 23468 41069 46936 82138 93872 164276 187744 328552 416557 657104 833114 1314208 1666228 2915899 3332456 5831798 6664912 11663596 13329824 23327192 46654384 93308768