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56629125 = 345371747
BaseRepresentation
bin1101100000000…
…1011110000101
310221120001120000
43120001132011
5103444113000
65341431513
71255224330
oct330013605
9127501500
1056629125
1129a69333
1216b6b599
13b969877
147741617
154e89000
hex3601785

56629125 has 160 divisors (see below), whose sum is σ = 130470912. Its totient is φ = 23846400.

The previous prime is 56629121. The next prime is 56629163. The reversal of 56629125 is 52192665.

56629125 is a `hidden beast` number, since 5 + 6 + 629 + 1 + 25 = 666.

It is not a de Polignac number, because 56629125 - 22 = 56629121 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 56629125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56629121) 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 159 ways as a sum of consecutive naturals, for example, 1204852 + ... + 1204898.

Almost surely, 256629125 is an apocalyptic number.

It is an amenable number.

56629125 is an abundant number, since it is smaller than the sum of its proper divisors (73841787).

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

56629125 is a wasteful number, since it uses less digits than its factorization.

56629125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 79 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 56629125 is about 7525.2325545461. The cubic root of 56629125 is about 384.0136103574.

The spelling of 56629125 in words is "fifty-six million, six hundred twenty-nine thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 17 21 25 27 35 45 47 51 63 75 81 85 105 119 125 135 141 153 175 189 225 235 255 315 329 357 375 405 423 425 459 525 567 595 675 705 765 799 875 945 987 1071 1125 1175 1269 1275 1377 1575 1645 1785 2025 2115 2125 2295 2397 2625 2835 2961 2975 3213 3375 3525 3807 3825 3995 4725 4935 5355 5593 5875 6345 6375 6885 7191 7875 8225 8883 8925 9639 10125 10575 11475 11985 14175 14805 14875 16065 16779 17625 19035 19125 19975 21573 23625 24675 26649 26775 27965 31725 34425 35955 41125 44415 44625 48195 50337 52875 57375 59925 64719 70875 74025 80325 83895 95175 99875 107865 123375 133245 133875 139825 151011 158625 172125 179775 222075 240975 251685 299625 323595 370125 401625 419475 453033 475875 539325 666225 699125 755055 898875 1110375 1204875 1258425 1617975 2097375 2265165 2696625 3331125 3775275 6292125 8089875 11325825 18876375 56629125