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531116256 = 253114611091
BaseRepresentation
bin11111101010000…
…011000011100000
31101000101111112110
4133222003003200
52041431210011
6124411355320
716106261616
oct3752030340
91330344473
10531116256
1125288a560
12129a52b40
138605b198
14507756b6
1531962ba6
hex1fa830e0

531116256 has 96 divisors (see below), whose sum is σ = 1525620096. Its totient is φ = 160448000.

The previous prime is 531116249. The next prime is 531116269. The reversal of 531116256 is 652611135.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 486271 + ... + 487361.

It is an arithmetic number, because the mean of its divisors is an integer number (15891876).

Almost surely, 2531116256 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 531116256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762810048).

531116256 is an abundant number, since it is smaller than the sum of its proper divisors (994503840).

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

531116256 is a wasteful number, since it uses less digits than its factorization.

531116256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1568 counting only the distinct ones).

The product of its digits is 5400, while the sum is 30.

The square root of 531116256 is about 23045.9596458902. The cubic root of 531116256 is about 809.8349793381.

The spelling of 531116256 in words is "five hundred thirty-one million, one hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 461 528 922 1056 1091 1383 1844 2182 2766 3273 3688 4364 5071 5532 6546 7376 8728 10142 11064 12001 13092 14752 15213 17456 20284 22128 24002 26184 30426 34912 36003 40568 44256 48004 52368 60852 72006 81136 96008 104736 121704 144012 162272 192016 243408 288024 384032 486816 502951 576048 1005902 1152096 1508853 2011804 3017706 4023608 5532461 6035412 8047216 11064922 12070824 16094432 16597383 22129844 24141648 33194766 44259688 48283296 66389532 88519376 132779064 177038752 265558128 531116256