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55964064 = 2531344843
BaseRepresentation
bin1101010101111…
…1000110100000
310220022021021010
43111133012200
5103311322224
65315300520
71246454352
oct325370640
9126267233
1055964064
11296546a2
12168aa740
13b795c40
14760b0d2
154da6e29
hex355f1a0

55964064 has 48 divisors (see below), whose sum is σ = 158209632. Its totient is φ = 17219328.

The previous prime is 55964039. The next prime is 55964081. The reversal of 55964064 is 46046955.

55964064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21174 + ... + 23669.

It is an arithmetic number, because the mean of its divisors is an integer number (3296034).

Almost surely, 255964064 is an apocalyptic number.

It is an amenable number.

55964064 is an abundant number, since it is smaller than the sum of its proper divisors (102245568).

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

55964064 is a wasteful number, since it uses less digits than its factorization.

55964064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44869 (or 44861 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 55964064 is about 7480.9133132259. The cubic root of 55964064 is about 382.5043820251.

The spelling of 55964064 in words is "fifty-five million, nine hundred sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 44843 89686 134529 179372 269058 358744 538116 582959 717488 1076232 1165918 1434976 1748877 2152464 2331836 3497754 4304928 4663672 6995508 9327344 13991016 18654688 27982032 55964064