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814040496 = 24331884353
BaseRepresentation
bin110000100001010…
…100010110110000
32002201202112122000
4300201110112300
53131343243441
6212435414000
726113141623
oct6041242660
92081675560
10814040496
11388560745
121a8754300
13cc85a889
147a181dba
154b6ec2b6
hex308545b0

814040496 has 40 divisors (see below), whose sum is σ = 2336598960. Its totient is φ = 271346688.

The previous prime is 814040483. The next prime is 814040509. The reversal of 814040496 is 694040418.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (814040483) and next prime (814040509).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 814040496.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 941745 + ... + 942608.

It is an arithmetic number, because the mean of its divisors is an integer number (58414974).

Almost surely, 2814040496 is an apocalyptic number.

It is an amenable number.

814040496 is an abundant number, since it is smaller than the sum of its proper divisors (1522558464).

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

814040496 is a wasteful number, since it uses less digits than its factorization.

814040496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884370 (or 1884358 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 814040496 is about 28531.3949185805. The cubic root of 814040496 is about 933.7171521162.

The spelling of 814040496 in words is "eight hundred fourteen million, forty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1884353 3768706 5653059 7537412 11306118 15074824 16959177 22612236 30149648 33918354 45224472 50877531 67836708 90448944 101755062 135673416 203510124 271346832 407020248 814040496