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55938456 = 23327110989
BaseRepresentation
bin1101010101100…
…0110110011000
310220020222010200
43111120312120
5103310012311
65314542200
71246316610
oct325306630
9126228120
1055938456
1129637432
1216897960
13b7873a2
147601a40
154d9e556
hex3558d98

55938456 has 48 divisors (see below), whose sum is σ = 173144400. Its totient is φ = 15982272.

The previous prime is 55938439. The next prime is 55938457. The reversal of 55938456 is 65483955.

55938456 is a `hidden beast` number, since 5 + 593 + 8 + 4 + 56 = 666.

55938456 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 2×559384562 = 6258221719327872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55938457) 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 11 ways as a sum of consecutive naturals, for example, 54991 + ... + 55998.

It is an arithmetic number, because the mean of its divisors is an integer number (3607175).

Almost surely, 255938456 is an apocalyptic number.

55938456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

55938456 is an abundant number, since it is smaller than the sum of its proper divisors (117205944).

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

55938456 is a wasteful number, since it uses less digits than its factorization.

55938456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111008 (or 111001 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 55938456 is about 7479.2015616642. The cubic root of 55938456 is about 382.4460310887.

The spelling of 55938456 in words is "fifty-five million, nine hundred thirty-eight thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 110989 221978 332967 443956 665934 776923 887912 998901 1331868 1553846 1997802 2330769 2663736 3107692 3995604 4661538 6215384 6992307 7991208 9323076 13984614 18646152 27969228 55938456