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795465616 = 241126412
BaseRepresentation
bin101111011010011…
…101011110010000
32001102210211200111
4233122131132100
53112114344431
6210533331104
725466226511
oct5732353620
92042724614
10795465616
11379024100
121a2496a94
13c8a5601a
1477908a08
1549c7d7b1
hex2f69d790

795465616 has 45 divisors (see below), whose sum is σ = 1696709329. Its totient is φ = 361011200.

The previous prime is 795465577. The next prime is 795465617. The reversal of 795465616 is 616564597.

The square root of 795465616 is 28204.

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

It can be written as a sum of positive squares in only one way, i.e., 718025616 + 77440000 = 26796^2 + 8800^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 795465616.

It is not an unprimeable number, because it can be changed into a prime (795465617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1240656 + ... + 1241296.

Almost surely, 2795465616 is an apocalyptic number.

795465616 is the 28204-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 795465616

795465616 is an abundant number, since it is smaller than the sum of its proper divisors (901243713).

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

795465616 is an equidigital number, since it uses as much as digits as its factorization.

795465616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 654 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 49.

The cubic root of 795465616 is about 926.5605470552.

Multiplying 795465616 by its sum of digits (49), we get a square (38977815184 = 1974282).

The spelling of 795465616 in words is "seven hundred ninety-five million, four hundred sixty-five thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 641 968 1282 1936 2564 5128 7051 10256 14102 28204 56408 77561 112816 155122 310244 410881 620488 821762 1240976 1643524 3287048 4519691 6574096 9039382 18078764 36157528 49716601 72315056 99433202 198866404 397732808 795465616