Search a number
-
+
56725901584 = 2411254132
BaseRepresentation
bin110100110101001000…
…001001000100010000
312102102022210101001221
4310311020021010100
51412133312322314
642020504534424
74045502131162
oct646510110420
9172368711057
1056725901584
112206a324500
12abb1481414
135470346551
142a61ada932
1517200b9824
hexd35209110

56725901584 has 45 divisors (see below), whose sum is σ = 120828567909. Its totient is φ = 25779737280.

The previous prime is 56725901569. The next prime is 56725901599. The reversal of 56725901584 is 48510952765.

It is a happy number.

The square root of 56725901584 is 238172.

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

It is an interprime number because it is at equal distance from previous prime (56725901569) and next prime (56725901599).

It can be written as a sum of positive squares in only one way, i.e., 12343210000 + 44382691584 = 111100^2 + 210672^2 .

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, 10476862 + ... + 10482274.

Almost surely, 256725901584 is an apocalyptic number.

56725901584 is the 238172-nd square number.

It is an amenable number.

56725901584 is an abundant number, since it is smaller than the sum of its proper divisors (64102666325).

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

56725901584 is an frugal number, since it uses more digits than its factorization.

56725901584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10856 (or 5426 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 52.

The spelling of 56725901584 in words is "fifty-six billion, seven hundred twenty-five million, nine hundred one thousand, five hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 5413 10826 21652 43304 59543 86608 119086 238172 476344 654973 952688 1309946 2619892 5239784 10479568 29300569 58601138 117202276 234404552 322306259 468809104 644612518 1289225036 2578450072 3545368849 5156900144 7090737698 14181475396 28362950792 56725901584