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45428256 = 253352579
BaseRepresentation
bin1010110101001…
…0111000100000
310011110222212000
42231102320200
543112201011
64301404000
71061063616
oct255227040
9104428760
1045428256
1123708a15
1213269600
139547533
1460676b6
153ec5356
hex2b52e20

45428256 has 48 divisors (see below), whose sum is σ = 132501600. Its totient is φ = 15142464.

The previous prime is 45428249. The next prime is 45428291. The reversal of 45428256 is 65282454.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45428256.

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 7 ways as a sum of consecutive naturals, for example, 25426 + ... + 27153.

It is an arithmetic number, because the mean of its divisors is an integer number (2760450).

Almost surely, 245428256 is an apocalyptic number.

It is an amenable number.

45428256 is an abundant number, since it is smaller than the sum of its proper divisors (87073344).

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

45428256 is a wasteful number, since it uses less digits than its factorization.

45428256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52598 (or 52584 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 45428256 is about 6740.0486645127. The cubic root of 45428256 is about 356.8141112613.

The spelling of 45428256 in words is "forty-five million, four hundred twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 52579 105158 157737 210316 315474 420632 473211 630948 841264 946422 1261896 1419633 1682528 1892844 2523792 2839266 3785688 5047584 5678532 7571376 11357064 15142752 22714128 45428256