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501132996 = 223272132412
BaseRepresentation
bin11101110111101…
…010111011000100
31021220222012020100
4131313222323010
52011242223441
6121421004100
715263363100
oct3567527304
91256865210
10501132996
11237970701
1211b9b3630
137ca90a00
144a7ac900
152deddcb6
hex1ddeaec4

501132996 has 243 divisors, whose sum is σ = 1635507783. Its totient is φ = 128943360.

The previous prime is 501132979. The next prime is 501133019. The reversal of 501132996 is 699231105.

The square root of 501132996 is 22386.

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

It can be written as a sum of positive squares in 4 ways, for example, as 333792900 + 167340096 = 18270^2 + 12936^2 .

It is a super-2 number, since 2×5011329962 = 502268559359872032, which contains 22 as substring.

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 501132996.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12222736 + ... + 12222776.

Almost surely, 2501132996 is an apocalyptic number.

501132996 is the 22386-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501132996

501132996 is an abundant number, since it is smaller than the sum of its proper divisors (1134374787).

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

501132996 is a wasteful number, since it uses less digits than its factorization.

501132996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The cubic root of 501132996 is about 794.2995800752.

Multiplying 501132996 by its sum of digits (36), we get a square (18040787856 = 1343162).

501132996 divided by its sum of digits (36) gives a square (13920361 = 37312).

The spelling of 501132996 in words is "five hundred one million, one hundred thirty-two thousand, nine hundred ninety-six".