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642533157 = 32737373739
BaseRepresentation
bin100110010011000…
…100011100100101
31122210001001210100
4212103010130211
52303442030112
6143431414313
721631304340
oct4623043445
91583031710
10642533157
112aa769742
1215b224399
13a316b446
1461499457
153b6202dc
hex264c4725

642533157 has 48 divisors (see below), whose sum is σ = 1093755520. Its totient is φ = 355798656.

The previous prime is 642533137. The next prime is 642533183. The reversal of 642533157 is 751335246.

642533157 is a `hidden beast` number, since 642 + 5 + 3 + 3 + 1 + 5 + 7 = 666.

It is not a de Polignac number, because 642533157 - 214 = 642516773 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642533117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 869094 + ... + 869832.

Almost surely, 2642533157 is an apocalyptic number.

It is an amenable number.

642533157 is a deficient number, since it is larger than the sum of its proper divisors (451222363).

642533157 is a wasteful number, since it uses less digits than its factorization.

642533157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1159 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 642533157 is about 25348.2377493979. The cubic root of 642533157 is about 862.9093628279.

The spelling of 642533157 in words is "six hundred forty-two million, five hundred thirty-three thousand, one hundred fifty-seven".

Divisors: 1 3 7 9 21 37 63 111 259 333 373 739 777 1119 2217 2331 2611 3357 5173 6651 7833 13801 15519 23499 27343 41403 46557 82029 96607 124209 191401 246087 275647 289821 574203 826941 869463 1722609 1929529 2480823 5788587 10198939 17365761 30596817 71392573 91790451 214177719 642533157