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46113664 = 273131151
BaseRepresentation
bin1010111111101…
…0001110000000
310012202211001111
42233322032000
543301114124
64324213104
71066650112
oct257721600
9105684044
1046113664
1124036973
121353a194
1397274bc
1461a53b2
1540ad494
hex2bfa380

46113664 has 32 divisors (see below), whose sum is σ = 92240640. Its totient is φ = 22963200.

The previous prime is 46113637. The next prime is 46113677. The reversal of 46113664 is 46631164.

46113664 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 (32).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 39489 + ... + 40639.

It is an arithmetic number, because the mean of its divisors is an integer number (2882520).

Almost surely, 246113664 is an apocalyptic number.

It is an amenable number.

46113664 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

46113664 is a wasteful number, since it uses less digits than its factorization.

46113664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1466 counting only the distinct ones).

The product of its digits is 10368, while the sum is 31.

The square root of 46113664 is about 6790.7042344664. The cubic root of 46113664 is about 358.5996628765.

The spelling of 46113664 in words is "forty-six million, one hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 313 626 1151 1252 2302 2504 4604 5008 9208 10016 18416 20032 36832 40064 73664 147328 360263 720526 1441052 2882104 5764208 11528416 23056832 46113664