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813812480 = 2851348907
BaseRepresentation
bin110000100000011…
…100101100000000
32002201022221211222
4300200130230000
53131313444410
6212430454212
726111202065
oct6040345400
92081287758
10813812480
113884153a8
121a8664368
13cc7aab60
147a122c6c
154b6a4955
hex3081cb00

813812480 has 72 divisors (see below), whose sum is σ = 2099326992. Its totient is φ = 300478464.

The previous prime is 813812459. The next prime is 813812497. The reversal of 813812480 is 84218318.

It is a self number, because there is not a number n which added to its sum of digits gives 813812480.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7814 + ... + 41093.

Almost surely, 2813812480 is an apocalyptic number.

813812480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

813812480 is an abundant number, since it is smaller than the sum of its proper divisors (1285514512).

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

813812480 is a wasteful number, since it uses less digits than its factorization.

813812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48941 (or 48927 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 813812480 is about 28527.3987597888. The cubic root of 813812480 is about 933.6299646718.

The spelling of 813812480 in words is "eight hundred thirteen million, eight hundred twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 832 1040 1280 1664 2080 3328 4160 8320 16640 48907 97814 195628 244535 391256 489070 635791 782512 978140 1271582 1565024 1956280 2543164 3130048 3178955 3912560 5086328 6260096 6357910 7825120 10172656 12520192 12715820 15650240 20345312 25431640 31300480 40690624 50863280 62600960 81381248 101726560 162762496 203453120 406906240 813812480