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55927968 = 2533118793
BaseRepresentation
bin1101010101011…
…0010010100000
310220020102202020
43111112102200
5103304143333
65314421440
71246244205
oct325262240
9126212666
1055927968
112962a568
1216891880
13b782695
1475dbcac
154d9b3b3
hex35564a0

55927968 has 48 divisors (see below), whose sum is σ = 151554816. Its totient is φ = 18040320.

The previous prime is 55927957. The next prime is 55927987. The reversal of 55927968 is 86972955.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 55927968.

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, 6421 + ... + 12372.

It is an arithmetic number, because the mean of its divisors is an integer number (3157392).

Almost surely, 255927968 is an apocalyptic number.

It is an amenable number.

55927968 is an abundant number, since it is smaller than the sum of its proper divisors (95626848).

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

55927968 is a wasteful number, since it uses less digits than its factorization.

55927968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18837 (or 18829 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 51.

The square root of 55927968 is about 7478.5003844354. The cubic root of 55927968 is about 382.4221277672.

The spelling of 55927968 in words is "fifty-five million, nine hundred twenty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 18793 37586 56379 75172 112758 150344 225516 300688 451032 582583 601376 902064 1165166 1747749 1804128 2330332 3495498 4660664 6990996 9321328 13981992 18642656 27963984 55927968