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56957985 = 355737181
BaseRepresentation
bin1101100101000…
…1110000100001
310222011202200000
43121101300201
5104040123420
65352450213
71261064160
oct331216041
9128152600
1056957985
112a173417
12170a9969
13ba53466
1477c93d7
155001690
hex3651c21

56957985 has 96 divisors (see below), whose sum is σ = 120836352. Its totient is φ = 25194240.

The previous prime is 56957983. The next prime is 56957993. The reversal of 56957985 is 58975965.

It is a happy number.

56957985 is a `hidden beast` number, since 5 + 69 + 579 + 8 + 5 = 666.

It is not a de Polignac number, because 56957985 - 21 = 56957983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56957983) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 314595 + ... + 314775.

It is an arithmetic number, because the mean of its divisors is an integer number (1258712).

Almost surely, 256957985 is an apocalyptic number.

It is an amenable number.

56957985 is an abundant number, since it is smaller than the sum of its proper divisors (63878367).

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

56957985 is a wasteful number, since it uses less digits than its factorization.

56957985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 233 counting only the distinct ones).

The product of its digits is 3402000, while the sum is 54.

The square root of 56957985 is about 7547.0514109816. The cubic root of 56957985 is about 384.7555315370.

The spelling of 56957985 in words is "fifty-six million, nine hundred fifty-seven thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 37 45 63 81 105 111 135 181 185 189 243 259 315 333 405 543 555 567 777 905 945 999 1215 1267 1295 1629 1665 1701 2331 2715 2835 2997 3801 3885 4887 4995 6335 6697 6993 8145 8505 8991 11403 11655 14661 14985 19005 20091 20979 24435 33485 34209 34965 43983 44955 46879 57015 60273 62937 73305 100455 102627 104895 140637 171045 180819 219915 234395 301365 307881 314685 421911 513135 542457 703185 904095 1265733 1539405 1627371 2109555 2712285 3797199 6328665 8136855 11391597 18985995 56957985