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580628992 = 295321397
BaseRepresentation
bin100010100110111…
…011001000000000
31111110120000020111
4202212323020000
52142120111432
6133340521104
720250156616
oct4246731000
91443500214
10580628992
11278828179
12142550194
13933a5868
14571836b6
1535e93347
hex229bb200

580628992 has 40 divisors (see below), whose sum is σ = 1182068316. Its totient is φ = 284823552.

The previous prime is 580628987. The next prime is 580629019. The reversal of 580628992 is 299826085.

It can be written as a sum of positive squares in 2 ways, for example, as 472801536 + 107827456 = 21744^2 + 10384^2 .

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, 16438 + ... + 37834.

Almost surely, 2580628992 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 580628992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591034158).

580628992 is an abundant number, since it is smaller than the sum of its proper divisors (601439324).

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

580628992 is an equidigital number, since it uses as much as digits as its factorization.

580628992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21468 (or 21452 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

The square root of 580628992 is about 24096.2443546707. The cubic root of 580628992 is about 834.2564487674.

The spelling of 580628992 in words is "five hundred eighty million, six hundred twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 848 1696 3392 6784 13568 21397 27136 42794 85588 171176 342352 684704 1134041 1369408 2268082 2738816 4536164 5477632 9072328 10955264 18144656 36289312 72578624 145157248 290314496 580628992