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813640480 = 2557369661
BaseRepresentation
bin110000011111110…
…010101100100000
32002201000012220121
4300133302230200
53131242443410
6212423050024
726106554452
oct6037625440
92081005817
10813640480
11388308154
121a85a0914
13cc74a793
147a0ba2d2
154b66d9da
hex307f2b20

813640480 has 48 divisors (see below), whose sum is σ = 1948585464. Its totient is φ = 320993280.

The previous prime is 813640463. The next prime is 813640483. The reversal of 813640480 is 84046318.

It can be written as a sum of positive squares in 4 ways, for example, as 466041744 + 347598736 = 21588^2 + 18644^2 .

It is not an unprimeable number, because it can be changed into a prime (813640483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23151 + ... + 46510.

Almost surely, 2813640480 is an apocalyptic number.

813640480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

813640480 is an abundant number, since it is smaller than the sum of its proper divisors (1134944984).

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

813640480 is a wasteful number, since it uses less digits than its factorization.

813640480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69749 (or 69741 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 813640480 is about 28524.3839547851. The cubic root of 813640480 is about 933.5641855263.

Adding to 813640480 its reverse (84046318), we get a palindrome (897686798).

The spelling of 813640480 in words is "eight hundred thirteen million, six hundred forty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 1168 1460 2336 2920 5840 11680 69661 139322 278644 348305 557288 696610 1114576 1393220 2229152 2786440 5085253 5572880 10170506 11145760 20341012 25426265 40682024 50852530 81364048 101705060 162728096 203410120 406820240 813640480