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642180252 = 223731246613
BaseRepresentation
bin100110010001101…
…110010010011100
31122202101010200210
4212101232102130
52303344232002
6143420052420
721625304430
oct4621562234
91582333623
10642180252
112aa54858a
1215b094110
13a307691c
14614069c0
153b5a096c
hex2646e49c

642180252 has 48 divisors (see below), whose sum is σ = 1767729152. Its totient is φ = 177560640.

The previous prime is 642180181. The next prime is 642180257. The reversal of 642180252 is 252081246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642180257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120703 + ... + 125910.

Almost surely, 2642180252 is an apocalyptic number.

642180252 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

642180252 is an abundant number, since it is smaller than the sum of its proper divisors (1125548900).

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

642180252 is a wasteful number, since it uses less digits than its factorization.

642180252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246658 (or 246656 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 642180252 is about 25341.2756584983. The cubic root of 642180252 is about 862.7513524099.

The spelling of 642180252 in words is "six hundred forty-two million, one hundred eighty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 1302 2604 246613 493226 739839 986452 1479678 1726291 2959356 3452582 5178873 6905164 7645003 10357746 15290006 20715492 22935009 30580012 45870018 53515021 91740036 107030042 160545063 214060084 321090126 642180252