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45444640 = 255431659
BaseRepresentation
bin1010110101011…
…0111000100000
310011111211022211
42231112320200
543113212030
64302011504
71061162443
oct255267040
9104454284
1045444640
112371a25a
1213276b94
139551b27
14606d65a
153eca12a
hex2b56e20

45444640 has 48 divisors (see below), whose sum is σ = 107775360. Its totient is φ = 18108160.

The previous prime is 45444631. The next prime is 45444661. The reversal of 45444640 is 4644454.

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, 68631 + ... + 69289.

It is an arithmetic number, because the mean of its divisors is an integer number (2245320).

Almost surely, 245444640 is an apocalyptic number.

45444640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45444640 is an abundant number, since it is smaller than the sum of its proper divisors (62330720).

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

45444640 is a wasteful number, since it uses less digits than its factorization.

45444640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

The square root of 45444640 is about 6741.2639764365. The cubic root of 45444640 is about 356.8570018926.

The spelling of 45444640 in words is "forty-five million, four hundred forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 431 659 862 1318 1724 2155 2636 3295 3448 4310 5272 6590 6896 8620 10544 13180 13792 17240 21088 26360 34480 52720 68960 105440 284029 568058 1136116 1420145 2272232 2840290 4544464 5680580 9088928 11361160 22722320 45444640