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45579920 = 2453118379
BaseRepresentation
bin1010110111011…
…1111010010000
310011202200220012
42231313322100
543132024140
64304534052
71062265031
oct255677220
9104680805
1045579920
1123801961
1213321328
13959b589
1460a6a88
154005265
hex2b77e90

45579920 has 40 divisors (see below), whose sum is σ = 109397760. Its totient is φ = 17642880.

The previous prime is 45579913. The next prime is 45579949. The reversal of 45579920 is 2997554.

It is a tau number, because it is divible by the number of its divisors (40).

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, 6710 + ... + 11669.

It is an arithmetic number, because the mean of its divisors is an integer number (2734944).

Almost surely, 245579920 is an apocalyptic number.

45579920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45579920 is an abundant number, since it is smaller than the sum of its proper divisors (63817840).

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

45579920 is a wasteful number, since it uses less digits than its factorization.

45579920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18423 (or 18417 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 41.

The square root of 45579920 is about 6751.2902470565. The cubic root of 45579920 is about 357.2107494549.

The spelling of 45579920 in words is "forty-five million, five hundred seventy-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 18379 36758 73516 91895 147032 183790 294064 367580 569749 735160 1139498 1470320 2278996 2848745 4557992 5697490 9115984 11394980 22789960 45579920