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508195272 = 233139831657
BaseRepresentation
bin11110010010100…
…111000111001000
31022102020222212010
4132102213013020
52020044222042
6122232215520
715410405604
oct3622470710
91272228763
10508195272
112409546a2
1212223a5a0
1381394380
144b6ca504
152e93659c
hex1e4a71c8

508195272 has 64 divisors (see below), whose sum is σ = 1370436480. Its totient is φ = 156114432.

The previous prime is 508195253. The next prime is 508195277. The reversal of 508195272 is 272591805.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 508195272.

It is not an unprimeable number, because it can be changed into a prime (508195277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305868 + ... + 307524.

It is an arithmetic number, because the mean of its divisors is an integer number (21413070).

Almost surely, 2508195272 is an apocalyptic number.

508195272 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

508195272 is an abundant number, since it is smaller than the sum of its proper divisors (862241208).

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

508195272 is a wasteful number, since it uses less digits than its factorization.

508195272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2662 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 508195272 is about 22543.1868199685. The cubic root of 508195272 is about 798.0134419002.

The spelling of 508195272 in words is "five hundred eight million, one hundred ninety-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 983 1657 1966 2949 3314 3932 4971 5898 6628 7864 9942 11796 12779 13256 19884 21541 23592 25558 38337 39768 43082 51116 64623 76674 86164 102232 129246 153348 172328 258492 306696 516984 1628831 3257662 4886493 6515324 9772986 13030648 19545972 21174803 39091944 42349606 63524409 84699212 127048818 169398424 254097636 508195272