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56665125 = 32531119241
BaseRepresentation
bin1101100000101…
…0010000100101
310221121212221100
43120022100211
5104001241000
65342310313
71255434306
oct330122045
9127555840
1056665125
1129a93390
1216b88399
13b98007a
1477507ad
154e94a00
hex360a425

56665125 has 96 divisors (see below), whose sum is σ = 117786240. Its totient is φ = 25920000.

The previous prime is 56665121. The next prime is 56665129. The reversal of 56665125 is 52156665.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56665121) and next prime (56665129).

It is not a de Polignac number, because 56665125 - 22 = 56665121 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 56665125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56665121) 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, 235005 + ... + 235245.

It is an arithmetic number, because the mean of its divisors is an integer number (1226940).

Almost surely, 256665125 is an apocalyptic number.

56665125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56665125 is an abundant number, since it is smaller than the sum of its proper divisors (61121115).

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

56665125 is a wasteful number, since it uses less digits than its factorization.

56665125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 279 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 56665125 is about 7527.6241271732. The cubic root of 56665125 is about 384.0949675597.

The spelling of 56665125 in words is "fifty-six million, six hundred sixty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 9 11 15 19 25 33 45 55 57 75 95 99 125 165 171 209 225 241 275 285 375 475 495 627 723 825 855 1045 1125 1205 1375 1425 1881 2169 2375 2475 2651 3135 3615 4125 4275 4579 5225 6025 7125 7953 9405 10845 12375 13255 13737 15675 18075 21375 22895 23859 26125 30125 39765 41211 47025 50369 54225 66275 68685 78375 90375 114475 119295 151107 198825 206055 235125 251845 271125 331375 343425 453321 572375 596475 755535 994125 1030275 1259225 1717125 2266605 2982375 3777675 5151375 6296125 11333025 18888375 56665125