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972317124 = 223251972
BaseRepresentation
bin111001111101000…
…110000111000100
32111202120211100100
4321331012013010
53442403121444
6240252044100
733044362542
oct7175060704
92452524310
10972317124
11459936279
12231763630
13126596a9c
14931c2d92
155a563e69
hex39f461c4

972317124 has 27 divisors (see below), whose sum is σ = 2458274637. Its totient is φ = 324043344.

The previous prime is 972317113. The next prime is 972317167. The reversal of 972317124 is 421713279.

The square root of 972317124 is 31182.

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

972317124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 444788100 + 527529024 = 21090^2 + 22968^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 184494 + ... + 189690.

Almost surely, 2972317124 is an apocalyptic number.

972317124 is the 31182-nd square number.

It is an amenable number.

972317124 is an abundant number, since it is smaller than the sum of its proper divisors (1485957513).

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

972317124 is an equidigital number, since it uses as much as digits as its factorization.

972317124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10404 (or 5202 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The cubic root of 972317124 is about 990.6858913885.

Multiplying 972317124 by its sum of digits (36), we get a square (35003416464 = 1870922).

972317124 divided by its sum of digits (36) gives a square (27008809 = 51972).

It can be divided in two parts, 972 and 317124, that added together give a square (318096 = 5642).

The spelling of 972317124 in words is "nine hundred seventy-two million, three hundred seventeen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 5197 10394 15591 20788 31182 46773 62364 93546 187092 27008809 54017618 81026427 108035236 162052854 243079281 324105708 486158562 972317124