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531393696 = 2534439467
BaseRepresentation
bin11111101011000…
…110110010100000
31101000220121010000
4133223012302200
52042014044241
6124421340000
716111525521
oct3753066240
91330817100
10531393696
11252a59a49
12129b67600
1386127552
1450808848
15319b9eb6
hex1fac6ca0

531393696 has 120 divisors (see below), whose sum is σ = 1569728160. Its totient is φ = 176349312.

The previous prime is 531393677. The next prime is 531393697. The reversal of 531393696 is 696393135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531393697) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1137655 + ... + 1138121.

It is an arithmetic number, because the mean of its divisors is an integer number (13081068).

Almost surely, 2531393696 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 531393696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784864080).

531393696 is an abundant number, since it is smaller than the sum of its proper divisors (1038334464).

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

531393696 is a wasteful number, since it uses less digits than its factorization.

531393696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 911 counting only the distinct ones).

The product of its digits is 393660, while the sum is 45.

The square root of 531393696 is about 23051.9781363769. The cubic root of 531393696 is about 809.9759663651.

The spelling of 531393696 in words is "five hundred thirty-one million, three hundred ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 439 467 648 864 878 934 1296 1317 1401 1756 1868 2592 2634 2802 3512 3736 3951 4203 5268 5604 7024 7472 7902 8406 10536 11208 11853 12609 14048 14944 15804 16812 21072 22416 23706 25218 31608 33624 35559 37827 42144 44832 47412 50436 63216 67248 71118 75654 94824 100872 126432 134496 142236 151308 189648 201744 205013 284472 302616 379296 403488 410026 568944 605232 615039 820052 1137888 1210464 1230078 1640104 1845117 2460156 3280208 3690234 4920312 5535351 6560416 7380468 9840624 11070702 14760936 16606053 19681248 22141404 29521872 33212106 44282808 59043744 66424212 88565616 132848424 177131232 265696848 531393696