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51065316 = 22343972
BaseRepresentation
bin1100001011001…
…1000111100100
310120002101110000
43002303013210
5101033042231
65022301300
71160022321
oct302630744
9116071400
1051065316
1126909145
1215127830
13a76c283
146ad3b48
15473a6e6
hex30b31e4

51065316 has 45 divisors (see below), whose sum is σ = 133831929. Its totient is φ = 16978896.

The previous prime is 51065309. The next prime is 51065321. The reversal of 51065316 is 61356015.

It is a happy number.

The square root of 51065316 is 7146.

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

51065316 is a `hidden beast` number, since 5 + 1 + 0 + 653 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34222500 + 16842816 = 5850^2 + 4104^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 51065316.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 128430 + ... + 128826.

Almost surely, 251065316 is an apocalyptic number.

51065316 is the 7146-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51065316

51065316 is an abundant number, since it is smaller than the sum of its proper divisors (82766613).

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

51065316 is an equidigital number, since it uses as much as digits as its factorization.

51065316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The cubic root of 51065316 is about 371.0012229843.

The spelling of 51065316 in words is "fifty-one million, sixty-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 397 794 1191 1588 2382 3573 4764 7146 10719 14292 21438 32157 42876 64314 128628 157609 315218 472827 630436 945654 1418481 1891308 2836962 4255443 5673924 8510886 12766329 17021772 25532658 51065316