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55944064 = 271139733
BaseRepresentation
bin1101010101101…
…0001110000000
310220021020211101
43111122032000
5103310202224
65315024144
71246342141
oct325321600
9126236741
1055944064
1129640670
121689b054
13b789ac7
147603ac8
154da1044
hex355a380

55944064 has 32 divisors (see below), whose sum is σ = 121586040. Its totient is φ = 25428480.

The previous prime is 55944041. The next prime is 55944079. The reversal of 55944064 is 46044955.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

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, 18459 + ... + 21274.

Almost surely, 255944064 is an apocalyptic number.

It is an amenable number.

55944064 is an abundant number, since it is smaller than the sum of its proper divisors (65641976).

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

55944064 is a wasteful number, since it uses less digits than its factorization.

55944064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39758 (or 39746 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 55944064 is about 7479.5764585971. The cubic root of 55944064 is about 382.4588111201.

It can be divided in two parts, 559440 and 64, that added together give a square (559504 = 7482).

The spelling of 55944064 in words is "fifty-five million, nine hundred forty-four thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 39733 79466 158932 317864 437063 635728 874126 1271456 1748252 2542912 3496504 5085824 6993008 13986016 27972032 55944064