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5257897920 = 2637511683
BaseRepresentation
bin1001110010110010…
…10010011111000000
3111120102122220000000
410321121102133000
541232010213140
62225423000000
7244203252312
oct47131223700
914512586000
105257897920
112258a45590
121028a39000
1365a408102
1437c4357b2
1520b8eaa30
hex1396527c0

5257897920 has 448 divisors, whose sum is σ = 20514746880. Its totient is φ = 1272775680.

The previous prime is 5257897903. The next prime is 5257897969. The reversal of 5257897920 is 297987525.

5257897920 is a `hidden beast` number, since 525 + 7 + 8 + 97 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7697899 + ... + 7698581.

Almost surely, 25257897920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5257897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10257373440).

5257897920 is an abundant number, since it is smaller than the sum of its proper divisors (15256848960).

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

5257897920 is an equidigital number, since it uses as much as digits as its factorization.

5257897920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The square root of 5257897920 is about 72511.3640748814. The cubic root of 5257897920 is about 1738.8844216563.

The spelling of 5257897920 in words is "five billion, two hundred fifty-seven million, eight hundred ninety-seven thousand, nine hundred twenty".