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7262277961 = 31227492
BaseRepresentation
bin1101100001101110…
…11001000101001001
3200202010020221111211
412300313121011021
5104333120343321
63200343453121
7344652226021
oct66067310511
920663227454
107262277961
113097403a14
1214a81571a1
138b9756cc3
144cc710a81
152c78760e1
hex1b0dd9149

7262277961 has 9 divisors (see below), whose sum is σ = 7506832743. Its totient is φ = 7025454360.

The previous prime is 7262277937. The next prime is 7262277977. The reversal of 7262277961 is 1697722627.

It is a happy number.

The square root of 7262277961 is 85219.

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

7262277961 is digitally balanced in base 3, 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., 865477561 + 6396800400 = 29419^2 + 79980^2 .

It is not a de Polignac number, because 7262277961 - 25 = 7262277929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7262272961) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2640415 + ... + 2643163.

It is an arithmetic number, because the mean of its divisors is an integer number (834092527).

Almost surely, 27262277961 is an apocalyptic number.

7262277961 is the 85219-th square number.

7262277961 is the 42610-th centered octagonal number.

It is an amenable number.

7262277961 is a deficient number, since it is larger than the sum of its proper divisors (244554782).

7262277961 is an frugal number, since it uses more digits than its factorization.

7262277961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5560 (or 2780 counting only the distinct ones).

The product of its digits is 889056, while the sum is 49.

The cubic root of 7262277961 is about 1936.5302667222.

Multiplying 7262277961 by its sum of digits (49), we get a square (355851620089 = 5965332).

The spelling of 7262277961 in words is "seven billion, two hundred sixty-two million, two hundred seventy-seven thousand, nine hundred sixty-one".

Divisors: 1 31 961 2749 85219 2641789 7557001 234267031 7262277961