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2638412304 = 2431147106319
BaseRepresentation
bin1001110101000010…
…1111101000010000
320210212122020021020
42131100233220100
520400413143204
61113450155440
7122245064103
oct23520575020
96725566236
102638412304
111134351240
12617722b80
13330801c18
141b05a073a
1510696bbd9
hex9d42fa10

2638412304 has 80 divisors (see below), whose sum is σ = 7593799680. Its totient is φ = 782500480.

The previous prime is 2638412297. The next prime is 2638412347. The reversal of 2638412304 is 4032148362.

It is a super-2 number, since 2×26384123042 = 13922438971797176832, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28344 + ... + 77975.

It is an arithmetic number, because the mean of its divisors is an integer number (94922496).

Almost surely, 22638412304 is an apocalyptic number.

2638412304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2638412304 is an abundant number, since it is smaller than the sum of its proper divisors (4955387376).

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

2638412304 is a wasteful number, since it uses less digits than its factorization.

2638412304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106388 (or 106382 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 2638412304 is about 51365.4777452717. The cubic root of 2638412304 is about 1381.8075285400.

The spelling of 2638412304 in words is "two billion, six hundred thirty-eight million, four hundred twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 47 48 66 88 94 132 141 176 188 264 282 376 517 528 564 752 1034 1128 1551 2068 2256 3102 4136 6204 8272 12408 24816 106319 212638 318957 425276 637914 850552 1169509 1275828 1701104 2339018 2551656 3508527 4678036 4996993 5103312 7017054 9356072 9993986 14034108 14990979 18712144 19987972 28068216 29981958 39975944 54966923 56136432 59963916 79951888 109933846 119927832 164900769 219867692 239855664 329801538 439735384 659603076 879470768 1319206152 2638412304