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531314944 = 2810120549
BaseRepresentation
bin11111101010110…
…011100100000000
31101000202121002021
4133222303210000
52042004034234
6124415531224
716111050106
oct3752634400
91330677067
10531314944
11252a05866
12129b29b14
13860ca754
14507c7c76
15319a19b4
hex1fab3900

531314944 has 36 divisors (see below), whose sum is σ = 1071107100. Its totient is φ = 263014400.

The previous prime is 531314933. The next prime is 531314969. The reversal of 531314944 is 449413135.

It can be written as a sum of positive squares in 2 ways, for example, as 516198400 + 15116544 = 22720^2 + 3888^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15582 + ... + 36130.

It is an arithmetic number, because the mean of its divisors is an integer number (29752975).

Almost surely, 2531314944 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 531314944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535553550).

531314944 is an abundant number, since it is smaller than the sum of its proper divisors (539792156).

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

531314944 is a wasteful number, since it uses less digits than its factorization.

531314944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20666 (or 20652 counting only the distinct ones).

The product of its digits is 25920, while the sum is 34.

The square root of 531314944 is about 23050.2699333435. The cubic root of 531314944 is about 809.9359518529.

The spelling of 531314944 in words is "five hundred thirty-one million, three hundred fourteen thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 808 1616 3232 6464 12928 20549 25856 41098 82196 164392 328784 657568 1315136 2075449 2630272 4150898 5260544 8301796 16603592 33207184 66414368 132828736 265657472 531314944