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531108368 = 24719318397
BaseRepresentation
bin11111101010000…
…001001000010000
31101000101002201022
4133222001020100
52041430431433
6124411255012
716106226620
oct3752011020
91330332638
10531108368
1125288463a
12129a4a468
138605770b
1450772880
1531960698
hex1fa81210

531108368 has 160 divisors (see below), whose sum is σ = 1306583040. Its totient is φ = 204042240.

The previous prime is 531108353. The next prime is 531108377. The reversal of 531108368 is 863801135.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5475296 + ... + 5475392.

It is an arithmetic number, because the mean of its divisors is an integer number (8166144).

Almost surely, 2531108368 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 531108368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653291520).

531108368 is an abundant number, since it is smaller than the sum of its proper divisors (775474672).

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

531108368 is a wasteful number, since it uses less digits than its factorization.

531108368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 531108368 is about 23045.7885089662. The cubic root of 531108368 is about 809.8309701657.

The spelling of 531108368 in words is "five hundred thirty-one million, one hundred eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 31 38 56 62 76 83 97 112 124 133 152 166 194 217 248 266 304 332 388 434 496 532 581 589 664 679 776 868 1064 1162 1178 1328 1358 1552 1577 1736 1843 2128 2324 2356 2573 2716 3007 3154 3472 3686 4123 4648 4712 5146 5432 6014 6308 7372 8051 8246 9296 9424 10292 10864 11039 12028 12616 12901 14744 16102 16492 18011 20584 21049 22078 24056 25232 25802 29488 32204 32984 36022 41168 42098 44156 48112 48887 51604 56357 57133 64408 65968 72044 84196 88312 97774 103208 112714 114266 128816 144088 152969 168392 176624 195548 206416 225428 228532 249581 288176 305938 336784 342209 391096 399931 450856 457064 499162 611876 684418 782192 799862 901712 914128 998324 1070783 1223752 1368836 1599724 1747067 1996648 2141566 2447504 2737672 3199448 3494134 3993296 4283132 4742039 5475344 6398896 6988268 8566264 9484078 13976536 17132528 18968156 27953072 33194273 37936312 66388546 75872624 132777092 265554184 531108368