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537868864 = 261322232
BaseRepresentation
bin100000000011110…
…011101001000000
31101111002120101001
4200003303221000
52100143300424
6125212221344
716220544541
oct4003635100
91344076331
10537868864
11256681925
1213016a854
1387583900
14516124c8
1532348844
hex200f3a40

537868864 has 63 divisors (see below), whose sum is σ = 1160957673. Its totient is φ = 247133952.

The previous prime is 537868789. The next prime is 537868883. The reversal of 537868864 is 468868735.

The square root of 537868864 is 23192.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 79566400 + 458302464 = 8920^2 + 21408^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2411857 + ... + 2412079.

Almost surely, 2537868864 is an apocalyptic number.

537868864 is the 23192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 537868864

537868864 is an abundant number, since it is smaller than the sum of its proper divisors (623088809).

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

537868864 is an equidigital number, since it uses as much as digits as its factorization.

537868864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 238 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 55.

The cubic root of 537868864 is about 813.2526146416.

The spelling of 537868864 in words is "five hundred thirty-seven million, eight hundred sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 223 338 416 446 676 832 892 1352 1784 2704 2899 3568 5408 5798 7136 10816 11596 14272 23192 37687 46384 49729 75374 92768 99458 150748 185536 198916 301496 397832 602992 646477 795664 1205984 1292954 1591328 2411968 2585908 3182656 5171816 8404201 10343632 16808402 20687264 33616804 41374528 67233608 134467216 268934432 537868864