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55802656 = 2571319163
BaseRepresentation
bin1101010011011…
…1101100100000
310220000001212001
43110313230200
5103241141111
65312013344
71245212650
oct324675440
9126001761
1055802656
11295543a8
1216831254
13b73a630
1475a8360
154d741c1
hex3537b20

55802656 has 48 divisors (see below), whose sum is σ = 135221184. Its totient is φ = 22074624.

The previous prime is 55802651. The next prime is 55802689. The reversal of 55802656 is 65620855.

55802656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×558026562 = 6227872833308672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55802651) by changing a digit.

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, 6670 + ... + 12493.

It is an arithmetic number, because the mean of its divisors is an integer number (2817108).

Almost surely, 255802656 is an apocalyptic number.

55802656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

55802656 is an abundant number, since it is smaller than the sum of its proper divisors (79418528).

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

55802656 is a wasteful number, since it uses less digits than its factorization.

55802656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19193 (or 19185 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The square root of 55802656 is about 7470.1175358892. The cubic root of 55802656 is about 382.1362963108.

The spelling of 55802656 in words is "fifty-five million, eight hundred two thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 19163 38326 76652 134141 153304 249119 268282 306608 498238 536564 613216 996476 1073128 1743833 1992952 2146256 3487666 3985904 4292512 6975332 7971808 13950664 27901328 55802656