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93933972 = 223311372137
BaseRepresentation
bin1011001100101…
…01000110010100
320112202100012000
411212111012110
5143021341342
613153155300
72220265656
oct546250624
9215670160
1093933972
1149028a90
122755bb30
13165cb742
14c6926d6
1583a744c
hex5995194

93933972 has 96 divisors (see below), whose sum is σ = 272979840. Its totient is φ = 27682560.

The previous prime is 93933953. The next prime is 93933979. The reversal of 93933972 is 27933939.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93933979) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42888 + ... + 45024.

It is an arithmetic number, because the mean of its divisors is an integer number (2843540).

Almost surely, 293933972 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 93933972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136489920).

93933972 is an abundant number, since it is smaller than the sum of its proper divisors (179045868).

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

93933972 is a wasteful number, since it uses less digits than its factorization.

93933972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198 (or 2190 counting only the distinct ones).

The product of its digits is 275562, while the sum is 45.

The square root of 93933972 is about 9691.9539825569. The cubic root of 93933972 is about 454.5771089858.

The spelling of 93933972 in words is "ninety-three million, nine hundred thirty-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 37 44 54 66 74 99 108 111 132 148 198 222 297 333 396 407 444 594 666 814 999 1188 1221 1332 1628 1998 2137 2442 3663 3996 4274 4884 6411 7326 8548 10989 12822 14652 19233 21978 23507 25644 38466 43956 47014 57699 70521 76932 79069 94028 115398 141042 158138 211563 230796 237207 282084 316276 423126 474414 634689 711621 846252 869759 948828 1269378 1423242 1739518 2134863 2538756 2609277 2846484 3479036 4269726 5218554 7827831 8539452 10437108 15655662 23483493 31311324 46966986 93933972