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531134656 = 26133120593
BaseRepresentation
bin11111101010000…
…111100011000000
31101000102102202221
4133222013203000
52041432302111
6124412020424
716106366353
oct3752074300
91330372687
10531134656
112528a2368
12129a61714
1386066680
145077c29a
1531968371
hex1fa878c0

531134656 has 56 divisors (see below), whose sum is σ = 1171716224. Its totient is φ = 237219840.

The previous prime is 531134651. The next prime is 531134657. The reversal of 531134656 is 656431135.

It is not an unprimeable number, because it can be changed into a prime (531134651) 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, 15496 + ... + 36088.

It is an arithmetic number, because the mean of its divisors is an integer number (20923504).

Almost surely, 2531134656 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 531134656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585858112).

531134656 is an abundant number, since it is smaller than the sum of its proper divisors (640581568).

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

531134656 is a wasteful number, since it uses less digits than its factorization.

531134656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20649 (or 20639 counting only the distinct ones).

The product of its digits is 32400, while the sum is 34.

The square root of 531134656 is about 23046.3588447286. The cubic root of 531134656 is about 809.8443312087.

The spelling of 531134656 in words is "five hundred thirty-one million, one hundred thirty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 208 248 403 416 496 806 832 992 1612 1984 3224 6448 12896 20593 25792 41186 82372 164744 267709 329488 535418 638383 658976 1070836 1276766 1317952 2141672 2553532 4283344 5107064 8298979 8566688 10214128 16597958 17133376 20428256 33195916 40856512 66391832 132783664 265567328 531134656