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506347152 = 24366115959
BaseRepresentation
bin11110001011100…
…011111010010000
31022021210002201020
4132023203322100
52014111102102
6122124435440
715355610523
oct3613437220
91267702636
10506347152
1123a902123
121216a8b80
1380b980cc
144b368bba
152e6bdbbc
hex1e2e3e90

506347152 has 40 divisors (see below), whose sum is σ = 1310124480. Its totient is φ = 168516480.

The previous prime is 506347151. The next prime is 506347181. The reversal of 506347152 is 251743605.

It is a super-2 number, since 2×5063471522 = 512774876677022208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (506347151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23749 + ... + 39707.

It is an arithmetic number, because the mean of its divisors is an integer number (32753112).

Almost surely, 2506347152 is an apocalyptic number.

It is an amenable number.

506347152 is an abundant number, since it is smaller than the sum of its proper divisors (803777328).

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

506347152 is a wasteful number, since it uses less digits than its factorization.

506347152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16631 (or 16625 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 506347152 is about 22502.1588297656. The cubic root of 506347152 is about 797.0449060484.

The spelling of 506347152 in words is "five hundred six million, three hundred forty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 661 1322 1983 2644 3966 5288 7932 10576 15864 15959 31728 31918 47877 63836 95754 127672 191508 255344 383016 766032 10548899 21097798 31646697 42195596 63293394 84391192 126586788 168782384 253173576 506347152