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48956832 = 253356663
BaseRepresentation
bin1011101011000…
…0010110100000
310102010021011000
42322300112200
5100013104312
64505152000
71133061201
oct272602640
9112107130
1048956832
11256a8aa1
121448b600
13a1b1652
1467055a8
154470adc
hex2eb05a0

48956832 has 48 divisors (see below), whose sum is σ = 142793280. Its totient is φ = 16318656.

The previous prime is 48956819. The next prime is 48956851. The reversal of 48956832 is 23865984.

48956832 is a `hidden beast` number, since 4 + 89 + 568 + 3 + 2 = 666.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 27468 + ... + 29195.

It is an arithmetic number, because the mean of its divisors is an integer number (2974860).

Almost surely, 248956832 is an apocalyptic number.

It is an amenable number.

48956832 is an abundant number, since it is smaller than the sum of its proper divisors (93836448).

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

48956832 is a wasteful number, since it uses less digits than its factorization.

48956832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56682 (or 56668 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 48956832 is about 6996.9158920199. The cubic root of 48956832 is about 365.8230803087.

The spelling of 48956832 in words is "forty-eight million, nine hundred fifty-six thousand, eight hundred thirty-two".

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 56663 113326 169989 226652 339978 453304 509967 679956 906608 1019934 1359912 1529901 1813216 2039868 2719824 3059802 4079736 5439648 6119604 8159472 12239208 16318944 24478416 48956832