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642641625 = 32533118427
BaseRepresentation
bin100110010011011…
…110111011011001
31122210020120120200
4212103132323121
52304004013000
6143434012413
721632235513
oct4623367331
91583216520
10642641625
112aa83318a
1215b277109
13a31a8922
14614c6bb3
153b642500
hex264deed9

642641625 has 48 divisors (see below), whose sum is σ = 1195903488. Its totient is φ = 331668000.

The previous prime is 642641611. The next prime is 642641627. The reversal of 642641625 is 526146246.

642641625 is a `hidden beast` number, since 6 + 4 + 2 + 641 + 6 + 2 + 5 = 666.

It is not a de Polignac number, because 642641625 - 24 = 642641609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 642641625.

It is not an unprimeable number, because it can be changed into a prime (642641627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25662 + ... + 44088.

It is an arithmetic number, because the mean of its divisors is an integer number (24914656).

Almost surely, 2642641625 is an apocalyptic number.

It is an amenable number.

642641625 is a deficient number, since it is larger than the sum of its proper divisors (553261863).

642641625 is a wasteful number, since it uses less digits than its factorization.

642641625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18479 (or 18466 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 642641625 is about 25350.3772161284. The cubic root of 642641625 is about 862.9579168910.

The spelling of 642641625 in words is "six hundred forty-two million, six hundred forty-one thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 31 45 75 93 125 155 225 279 375 465 775 1125 1395 2325 3875 6975 11625 18427 34875 55281 92135 165843 276405 460675 571237 829215 1382025 1713711 2303375 2856185 4146075 5141133 6910125 8568555 14280925 20730375 25705665 42842775 71404625 128528325 214213875 642641625