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93319096 = 23132233001
BaseRepresentation
bin1011000111111…
…10111110111000
320111121002201211
411203332332320
5142342202341
613132052504
72212125223
oct543767670
9214532654
1093319096
1148749022
1227304134
1316444900
14c5725ba
1582d5181
hex58fefb8

93319096 has 48 divisors (see below), whose sum is σ = 197771760. Its totient is φ = 41184000.

The previous prime is 93319091. The next prime is 93319117. The reversal of 93319096 is 69091339.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93319091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29596 + ... + 32596.

It is an arithmetic number, because the mean of its divisors is an integer number (4120245).

Almost surely, 293319096 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 93319096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98885880).

93319096 is an abundant number, since it is smaller than the sum of its proper divisors (104452664).

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

93319096 is a wasteful number, since it uses less digits than its factorization.

93319096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3056 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 39366, while the sum is 40.

The square root of 93319096 is about 9660.1809506862. The cubic root of 93319096 is about 453.5830750984.

The spelling of 93319096 in words is "ninety-three million, three hundred nineteen thousand, ninety-six".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 169 184 299 338 598 676 1196 1352 2392 3001 3887 6002 7774 12004 15548 24008 31096 39013 69023 78026 138046 156052 276092 312104 507169 552184 897299 1014338 1794598 2028676 3589196 4057352 7178392 11664887 23329774 46659548 93319096