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55508256 = 2532192737
BaseRepresentation
bin1101001110111…
…1110100100000
310212110010000100
43103233310200
5103202231011
65301422400
71242545436
oct323576440
9125403010
1055508256
11293731a1
121670aa00
13b66662b
14752cd56
154d16d56
hex34efd20

55508256 has 36 divisors (see below), whose sum is σ = 157852422. Its totient is φ = 18502656.

The previous prime is 55508249. The next prime is 55508273. The reversal of 55508256 is 65280555.

It can be written as a sum of positive squares in only one way, i.e., 28259856 + 27248400 = 5316^2 + 5220^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 55508256.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 96081 + ... + 96656.

Almost surely, 255508256 is an apocalyptic number.

It is an amenable number.

55508256 is an abundant number, since it is smaller than the sum of its proper divisors (102344166).

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

55508256 is a wasteful number, since it uses less digits than its factorization.

55508256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192753 (or 192742 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The square root of 55508256 is about 7450.3862987096. The cubic root of 55508256 is about 381.4630944880.

The spelling of 55508256 in words is "fifty-five million, five hundred eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 192737 385474 578211 770948 1156422 1541896 1734633 2312844 3083792 3469266 4625688 6167584 6938532 9251376 13877064 18502752 27754128 55508256