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45007264 = 256123057
BaseRepresentation
bin1010101110110…
…0000110100000
310010200121100201
42223230012200
543010213024
64244354544
71054361341
oct253540640
9103617321
1045007264
1123450695
12130a5a54
13942aa23
145d980c8
153e40744
hex2aec1a0

45007264 has 24 divisors (see below), whose sum is σ = 90064548. Its totient is φ = 22133760.

The previous prime is 45007253. The next prime is 45007273. The reversal of 45007264 is 46270054.

It can be written as a sum of positive squares in 2 ways, for example, as 44997264 + 10000 = 6708^2 + 100^2 .

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 3 ways as a sum of consecutive naturals, for example, 9577 + ... + 13480.

Almost surely, 245007264 is an apocalyptic number.

It is an amenable number.

45007264 is an abundant number, since it is smaller than the sum of its proper divisors (45057284).

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

45007264 is a wasteful number, since it uses less digits than its factorization.

45007264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23128 (or 23120 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 45007264 is about 6708.7453372445. The cubic root of 45007264 is about 355.7084681400.

The spelling of 45007264 in words is "forty-five million, seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1952 23057 46114 92228 184456 368912 737824 1406477 2812954 5625908 11251816 22503632 45007264