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56450625 = 3547111723
BaseRepresentation
bin1101011101010…
…1111001000001
310221012222200220
43113111321001
5103422410000
65333533253
71253552040
oct327257101
9127188626
1056450625
1129957210
1216aa4229
13b90654a
1476d6557
154e511a0
hex35d5e41

56450625 has 160 divisors (see below), whose sum is σ = 129558528. Its totient is φ = 21120000.

The previous prime is 56450593. The next prime is 56450657. The reversal of 56450625 is 52605465.

It is a happy number.

56450625 is a nontrivial binomial coefficient, being equal to C(10626, 2).

It is an interprime number because it is at equal distance from previous prime (56450593) and next prime (56450657).

It is not a de Polignac number, because 56450625 - 25 = 56450593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2454364 + ... + 2454386.

Almost surely, 256450625 is an apocalyptic number.

56450625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

56450625 is the 10625-th triangular number and also the 5313-rd hexagonal number.

It is an amenable number.

56450625 is an abundant number, since it is smaller than the sum of its proper divisors (73107903).

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

56450625 is a wasteful number, since it uses less digits than its factorization.

56450625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 56450625 is about 7513.3630951791. The cubic root of 56450625 is about 383.6097040795.

It can be divided in two parts, 56450 and 625, that added together give a palindrome (57075).

The spelling of 56450625 in words is "fifty-six million, four hundred fifty thousand, six hundred twenty-five".

Divisors: 1 3 5 7 11 15 17 21 23 25 33 35 51 55 69 75 77 85 105 115 119 125 161 165 175 187 231 253 255 275 345 357 375 385 391 425 483 525 561 575 595 625 759 805 825 875 935 1155 1173 1265 1275 1309 1375 1725 1771 1785 1875 1925 1955 2125 2415 2625 2737 2805 2875 2975 3795 3927 4025 4125 4301 4375 4675 5313 5775 5865 6325 6375 6545 6875 8211 8625 8855 8925 9625 9775 10625 12075 12903 13125 13685 14025 14375 14875 18975 19635 20125 20625 21505 23375 26565 28875 29325 30107 31625 31875 32725 41055 43125 44275 44625 48125 48875 60375 64515 68425 70125 74375 90321 94875 98175 100625 107525 116875 132825 144375 146625 150535 158125 163625 205275 221375 223125 244375 301875 322575 342125 350625 451605 474375 490875 537625 664125 733125 752675 818125 1026375 1106875 1612875 1710625 2258025 2454375 2688125 3320625 3763375 5131875 8064375 11290125 18816875 56450625