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902161296 = 243225032
BaseRepresentation
bin110101110001011…
…110001110010000
32022212120112122100
4311301132032100
53321423130141
6225304240400
731233146601
oct6561361620
92285515570
10902161296
11423279153
12212170100
13114ba236a
1487b5dda8
15543070b6
hex35c5e390

902161296 has 45 divisors (see below), whose sum is σ = 2525807739. Its totient is φ = 300600288.

The previous prime is 902161289. The next prime is 902161297. The reversal of 902161296 is 692161209.

The square root of 902161296 is 30036.

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

902161296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 902161296.

It is not an unprimeable number, because it can be changed into a prime (902161297) 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, 359181 + ... + 361683.

Almost surely, 2902161296 is an apocalyptic number.

902161296 is the 30036-th square number.

It is an amenable number.

902161296 is an abundant number, since it is smaller than the sum of its proper divisors (1623646443).

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

902161296 is an equidigital number, since it uses as much as digits as its factorization.

902161296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5020 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The cubic root of 902161296 is about 966.2616217173.

Multiplying 902161296 by its sum of digits (36), we get a square (32477806656 = 1802162).

902161296 divided by its sum of digits (36) gives a square (25060036 = 50062).

Multiplying 902161296 by its product of nonzero digits (11664), we get a square (10522809356544 = 32438882).

The spelling of 902161296 in words is "nine hundred two million, one hundred sixty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2503 5006 7509 10012 15018 20024 22527 30036 40048 45054 60072 90108 120144 180216 360432 6265009 12530018 18795027 25060036 37590054 50120072 56385081 75180108 100240144 112770162 150360216 225540324 300720432 451080648 902161296