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93312945 = 33511312027
BaseRepresentation
bin1011000111111…
…01011110110001
320111120210022000
411203331132301
5142342003240
613132004213
72212101255
oct543753661
9214523260
1093312945
1148744440
1227300669
1316441b7b
14c570265
1582d3430
hex58fd7b1

93312945 has 64 divisors (see below), whose sum is σ = 186900480. Its totient is φ = 43761600.

The previous prime is 93312943. The next prime is 93312959. The reversal of 93312945 is 54921339.

It is a happy number.

It is not a de Polignac number, because 93312945 - 21 = 93312943 is a prime.

It is not an unprimeable number, because it can be changed into a prime (93312943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45022 + ... + 47048.

It is an arithmetic number, because the mean of its divisors is an integer number (2920320).

Almost surely, 293312945 is an apocalyptic number.

It is an amenable number.

93312945 is an abundant number, since it is smaller than the sum of its proper divisors (93587535).

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

93312945 is a wasteful number, since it uses less digits than its factorization.

93312945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 2077 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 93312945 is about 9659.8625766623. The cubic root of 93312945 is about 453.5731091110.

The spelling of 93312945 in words is "ninety-three million, three hundred twelve thousand, nine hundred forty-five".

Divisors: 1 3 5 9 11 15 27 31 33 45 55 93 99 135 155 165 279 297 341 465 495 837 1023 1395 1485 1705 2027 3069 4185 5115 6081 9207 10135 15345 18243 22297 30405 46035 54729 62837 66891 91215 111485 188511 200673 273645 314185 334455 565533 602019 691207 942555 1003365 1696599 2073621 2827665 3010095 3456035 6220863 8482995 10368105 18662589 31104315 93312945