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55991565 = 3257267379
BaseRepresentation
bin1101010110010…
…1110100001101
310220100122222200
43111211310031
5103313212230
65320032113
71246630500
oct325456415
9126318880
1055991565
1129673323
1216902639
13b7a5606
147617137
154db0160
hex3565d0d

55991565 has 72 divisors (see below), whose sum is σ = 114884640. Its totient is φ = 25147584.

The previous prime is 55991561. The next prime is 55991567. The reversal of 55991565 is 56519955.

55991565 is a `hidden beast` number, since 5 + 599 + 1 + 56 + 5 = 666.

It is not a de Polignac number, because 55991565 - 22 = 55991561 is a prime.

It is a super-2 number, since 2×559915652 = 6270110702298450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 55991565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55991561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 147546 + ... + 147924.

It is an arithmetic number, because the mean of its divisors is an integer number (1595620).

Almost surely, 255991565 is an apocalyptic number.

It is an amenable number.

55991565 is an abundant number, since it is smaller than the sum of its proper divisors (58893075).

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

55991565 is a wasteful number, since it uses less digits than its factorization.

55991565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 461 counting only the distinct ones).

The product of its digits is 303750, while the sum is 45.

The square root of 55991565 is about 7482.7511651798. The cubic root of 55991565 is about 382.5670265727.

The spelling of 55991565 in words is "fifty-five million, nine hundred ninety-one thousand, five hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 67 105 147 201 245 315 335 379 441 469 603 735 1005 1137 1407 1895 2205 2345 2653 3015 3283 3411 4221 5685 7035 7959 9849 13265 16415 17055 18571 21105 23877 25393 29547 39795 49245 55713 76179 92855 119385 126965 147735 167139 177751 228537 278565 380895 533253 835695 888755 1142685 1244257 1599759 2666265 3732771 6221285 7998795 11198313 18663855 55991565