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580305056 = 2553577593
BaseRepresentation
bin100010100101101…
…100000010100000
31111102221112212212
4202211230002200
52142024230211
6133325541252
720244340322
oct4245540240
91442845785
10580305056
11278626861
12142414828
13932c1296
14570db612
1535e2c38b
hex2296c0a0

580305056 has 48 divisors (see below), whose sum is σ = 1168015464. Its totient is φ = 283705344.

The previous prime is 580305043. The next prime is 580305079. The reversal of 580305056 is 650503085.

It can be written as a sum of positive squares in 4 ways, for example, as 570445456 + 9859600 = 23884^2 + 3140^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 978296 + ... + 978888.

Almost surely, 2580305056 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 580305056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584007732).

580305056 is an abundant number, since it is smaller than the sum of its proper divisors (587710408).

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

580305056 is a wasteful number, since it uses less digits than its factorization.

580305056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 580305056 is about 24089.5217055051. The cubic root of 580305056 is about 834.1012745377.

The spelling of 580305056 in words is "five hundred eighty million, three hundred five thousand, fifty-six".

Divisors: 1 2 4 8 16 32 53 106 212 424 577 593 848 1154 1186 1696 2308 2372 4616 4744 9232 9488 18464 18976 30581 31429 61162 62858 122324 125716 244648 251432 342161 489296 502864 684322 978592 1005728 1368644 2737288 5474576 10949152 18134533 36269066 72538132 145076264 290152528 580305056