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56964375 = 3254131941
BaseRepresentation
bin1101100101001…
…1010100010111
310222012002102200
43121103110113
5104040330000
65352535543
71261121616
oct331232427
9128162380
1056964375
112a1781a6
12170b15b3
13ba56340
1477cb87d
155003500
hex3653517

56964375 has 120 divisors (see below), whose sum is σ = 119399280. Its totient is φ = 25920000.

The previous prime is 56964373. The next prime is 56964377. The reversal of 56964375 is 57346965.

It is an interprime number because it is at equal distance from previous prime (56964373) and next prime (56964377).

It is not a de Polignac number, because 56964375 - 21 = 56964373 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

Its product of digits (680400) is a multiple of the sum of its prime divisors (81).

It is a self number, because there is not a number n which added to its sum of digits gives 56964375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56964373) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1389355 + ... + 1389395.

It is an arithmetic number, because the mean of its divisors is an integer number (994994).

Almost surely, 256964375 is an apocalyptic number.

56964375 is an abundant number, since it is smaller than the sum of its proper divisors (62434905).

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

56964375 is a wasteful number, since it uses less digits than its factorization.

56964375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 81 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 56964375 is about 7547.4747432502. The cubic root of 56964375 is about 384.7699193114.

The spelling of 56964375 in words is "fifty-six million, nine hundred sixty-four thousand, three hundred seventy-five".

Divisors: 1 3 5 9 13 15 19 25 39 41 45 57 65 75 95 117 123 125 171 195 205 225 247 285 325 369 375 475 533 585 615 625 741 779 855 975 1025 1125 1235 1425 1599 1625 1845 1875 2223 2337 2375 2665 2925 3075 3705 3895 4275 4797 4875 5125 5625 6175 7011 7125 7995 8125 9225 10127 11115 11685 11875 13325 14625 15375 18525 19475 21375 23985 24375 25625 30381 30875 35055 35625 39975 46125 50635 55575 58425 66625 73125 76875 91143 92625 97375 106875 119925 151905 154375 175275 199875 230625 253175 277875 292125 333125 455715 463125 486875 599625 759525 876375 999375 1265875 1389375 1460625 2278575 2998125 3797625 4381875 6329375 11392875 18988125 56964375