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527314976 = 25171994871
BaseRepresentation
bin11111011011100…
…011000000100000
31100202020101011022
4133123203000200
52034443034401
6124154105012
716032050306
oct3733430040
91322211138
10527314976
11250723601
1212871b168
1385329bc6
1450066276
153146171b
hex1f6e3020

527314976 has 48 divisors (see below), whose sum is σ = 1104969600. Its totient is φ = 246850560.

The previous prime is 527314973. The next prime is 527315011. The reversal of 527314976 is 679413725.

It is a super-2 number, since 2×5273149762 = 556122167827761152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (527314973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105821 + ... + 110691.

It is an arithmetic number, because the mean of its divisors is an integer number (23020200).

Almost surely, 2527314976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 527314976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552484800).

527314976 is an abundant number, since it is smaller than the sum of its proper divisors (577654624).

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

527314976 is a wasteful number, since it uses less digits than its factorization.

527314976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5097 (or 5089 counting only the distinct ones).

The product of its digits is 317520, while the sum is 44.

The square root of 527314976 is about 22963.3398267761. The cubic root of 527314976 is about 807.8983141649.

The spelling of 527314976 in words is "five hundred twenty-seven million, three hundred fourteen thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 68 136 199 272 398 544 796 1592 3184 3383 4871 6368 6766 9742 13532 19484 27064 38968 54128 77936 82807 108256 155872 165614 331228 662456 969329 1324912 1938658 2649824 3877316 7754632 15509264 16478593 31018528 32957186 65914372 131828744 263657488 527314976