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824990464 = 287145389
BaseRepresentation
bin110001001011000…
…101101100000000
32010111100212011101
4301023011230000
53142144143324
6213510224144
726305206004
oct6113055400
92114325141
10824990464
1139375a601
121b0355054
13101bc294c
147b7d2704
154c661944
hex312c5b00

824990464 has 36 divisors (see below), whose sum is σ = 1669988880. Its totient is φ = 406676480.

The previous prime is 824990459. The next prime is 824990489. The reversal of 824990464 is 464099428.

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 3 ways as a sum of consecutive naturals, for example, 4519 + ... + 40870.

It is an arithmetic number, because the mean of its divisors is an integer number (46388580).

Almost surely, 2824990464 is an apocalyptic number.

It is an amenable number.

824990464 is an abundant number, since it is smaller than the sum of its proper divisors (844998416).

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

824990464 is an equidigital number, since it uses as much as digits as its factorization.

824990464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45476 (or 45462 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The square root of 824990464 is about 28722.6472317577. The cubic root of 824990464 is about 937.8851140506.

The spelling of 824990464 in words is "eight hundred twenty-four million, nine hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 71 128 142 256 284 568 1136 2272 4544 9088 18176 45389 90778 181556 363112 726224 1452448 2904896 3222619 5809792 6445238 11619584 12890476 25780952 51561904 103123808 206247616 412495232 824990464