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45313056 = 2532433659
BaseRepresentation
bin1010110011011…
…0110000100000
310011021010211100
42230312300200
543100004211
64255114400
71060104015
oct254666040
9104233740
1045313056
112363a408
1213212a00
139506c79
14603770c
153ea1156
hex2b36c20

45313056 has 72 divisors (see below), whose sum is σ = 131891760. Its totient is φ = 14749056.

The previous prime is 45313033. The next prime is 45313063. The reversal of 45313056 is 65031354.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10555 + ... + 14213.

It is an arithmetic number, because the mean of its divisors is an integer number (1831830).

Almost surely, 245313056 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 45313056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65945880).

45313056 is an abundant number, since it is smaller than the sum of its proper divisors (86578704).

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

45313056 is a wasteful number, since it uses less digits than its factorization.

45313056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3718 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 45313056 is about 6731.4973074347. The cubic root of 45313056 is about 356.5122449497.

The spelling of 45313056 in words is "forty-five million, three hundred thirteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 2064 3096 3659 4128 6192 7318 10977 12384 14636 21954 29272 32931 43908 58544 65862 87816 117088 131724 157337 175632 263448 314674 351264 472011 526896 629348 944022 1053792 1258696 1416033 1888044 2517392 2832066 3776088 5034784 5664132 7552176 11328264 15104352 22656528 45313056