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2479929504 = 253131987123
BaseRepresentation
bin1001001111010000…
…1011100010100000
320101211102110201220
42103310023202200
520034330221004
61050025255040
7115312024113
oct22364134240
96354373656
102479929504
111062945818
12592634480
13306a22c10
1419750857a
15e7ab3dd9
hex93d0b8a0

2479929504 has 48 divisors (see below), whose sum is σ = 7010573472. Its totient is φ = 763054848.

The previous prime is 2479929493. The next prime is 2479929509. The reversal of 2479929504 is 4059299742.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2479929509) 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 7 ways as a sum of consecutive naturals, for example, 992314 + ... + 994809.

It is an arithmetic number, because the mean of its divisors is an integer number (146053614).

Almost surely, 22479929504 is an apocalyptic number.

2479929504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2479929504 is an abundant number, since it is smaller than the sum of its proper divisors (4530643968).

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

2479929504 is a wasteful number, since it uses less digits than its factorization.

2479929504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987149 (or 1987141 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 2479929504 is about 49798.8905900523. The cubic root of 2479929504 is about 1353.5670647665.

The spelling of 2479929504 in words is "two billion, four hundred seventy-nine million, nine hundred twenty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1987123 3974246 5961369 7948492 11922738 15896984 23845476 25832599 31793968 47690952 51665198 63587936 77497797 95381904 103330396 154995594 190763808 206660792 309991188 413321584 619982376 826643168 1239964752 2479929504