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55988625 = 3537211277
BaseRepresentation
bin1101010110010…
…1000110010001
310220100111221210
43111211012101
5103313114000
65320010333
71246616100
oct325450621
9126314853
1055988625
11296710a0
12169009a9
13b7a4184
147616037
154dae350
hex3565191

55988625 has 96 divisors (see below), whose sum is σ = 118654848. Its totient is φ = 23184000.

The previous prime is 55988567. The next prime is 55988627. The reversal of 55988625 is 52688955.

It is not a de Polignac number, because 55988625 - 29 = 55988113 is a prime.

It is a super-2 number, since 2×559886252 = 6269452258781250, which contains 22 as substring.

Its product of digits (864000) is a multiple of the sum of its prime factors (320).

It is not an unprimeable number, because it can be changed into a prime (55988627) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 201987 + ... + 202263.

It is an arithmetic number, because the mean of its divisors is an integer number (1235988).

Almost surely, 255988625 is an apocalyptic number.

55988625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

55988625 is an abundant number, since it is smaller than the sum of its proper divisors (62666223).

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

55988625 is a wasteful number, since it uses less digits than its factorization.

55988625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 303 counting only the distinct ones).

The product of its digits is 864000, while the sum is 48.

The square root of 55988625 is about 7482.5547107923. The cubic root of 55988625 is about 382.5603305239.

The spelling of 55988625 in words is "fifty-five million, nine hundred eighty-eight thousand, six hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 49 55 75 77 105 125 147 165 175 231 245 275 277 375 385 525 539 735 825 831 875 1155 1225 1375 1385 1617 1925 1939 2625 2695 3047 3675 4125 4155 5775 5817 6125 6925 8085 9141 9625 9695 13475 13573 15235 18375 20775 21329 28875 29085 34625 40425 40719 45705 48475 63987 67375 67865 76175 103875 106645 145425 149303 202125 203595 228525 242375 319935 339325 380875 447909 533225 727125 746515 1017975 1142625 1599675 1696625 2239545 2666125 3732575 5089875 7998375 11197725 18662875 55988625