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55056832 = 261922383
BaseRepresentation
bin1101001000000…
…1100111000000
310211121011202221
43102001213000
5103043304312
65244020424
71235655355
oct322014700
9124534687
1055056832
1129095016
1216531714
13b53900c
14745262c
154c78207
hex34819c0

55056832 has 42 divisors (see below), whose sum is σ = 115354608. Its totient is φ = 26068608.

The previous prime is 55056823. The next prime is 55056839. The reversal of 55056832 is 23865055.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55056839) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21913 + ... + 24295.

Almost surely, 255056832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55056832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57677304).

55056832 is an abundant number, since it is smaller than the sum of its proper divisors (60297776).

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

55056832 is a wasteful number, since it uses less digits than its factorization.

55056832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The square root of 55056832 is about 7420.0291104550. The cubic root of 55056832 is about 380.4261884968.

The spelling of 55056832 in words is "fifty-five million, fifty-six thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 361 608 722 1216 1444 2383 2888 4766 5776 9532 11552 19064 23104 38128 45277 76256 90554 152512 181108 362216 724432 860263 1448864 1720526 2897728 3441052 6882104 13764208 27528416 55056832