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93306642 = 231113176397
BaseRepresentation
bin1011000111110…
…11111100010010
320111120110122120
411203323330102
5142341303032
613131515110
72212044012
oct543737422
9214513576
1093306642
114873a730
12272b8a96
131643c040
14c56bc42
1582d162c
hex58fbf12

93306642 has 64 divisors (see below), whose sum is σ = 232170624. Its totient is φ = 24560640.

The previous prime is 93306623. The next prime is 93306643. The reversal of 93306642 is 24660339.

It is a super-2 number, since 2×933066422 = 17412258882632328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (93306643) 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, 11388 + ... + 17784.

It is an arithmetic number, because the mean of its divisors is an integer number (3627666).

Almost surely, 293306642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93306642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116085312).

93306642 is an abundant number, since it is smaller than the sum of its proper divisors (138863982).

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

93306642 is a wasteful number, since it uses less digits than its factorization.

93306642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6443.

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 93306642 is about 9659.5363242756. The cubic root of 93306642 is about 453.5628963955.

The spelling of 93306642 in words is "ninety-three million, three hundred six thousand, six hundred forty-two".

Divisors: 1 2 3 6 11 13 17 22 26 33 34 39 51 66 78 102 143 187 221 286 374 429 442 561 663 858 1122 1326 2431 4862 6397 7293 12794 14586 19191 38382 70367 83161 108749 140734 166322 211101 217498 249483 326247 422202 498966 652494 914771 1196239 1413737 1829542 2392478 2744313 2827474 3588717 4241211 5488626 7177434 8482422 15551107 31102214 46653321 93306642