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313861856 = 25721131587
BaseRepresentation
bin10010101101010…
…010011011100000
3210212120211112012
4102231102123200
51120322034411
651051052052
710530532100
oct2255223340
9725524465
10313861856
11151192070
1289141028
1350042399
142d981200
151c84b18b
hex12b526e0

313861856 has 144 divisors (see below), whose sum is σ = 810819072. Its totient is φ = 118137600.

The previous prime is 313861829. The next prime is 313861901. The reversal of 313861856 is 658168313.

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 23 ways as a sum of consecutive naturals, for example, 534395 + ... + 534981.

It is an arithmetic number, because the mean of its divisors is an integer number (5630688).

Almost surely, 2313861856 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 313861856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405409536).

313861856 is an abundant number, since it is smaller than the sum of its proper divisors (496957216).

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

313861856 is a wasteful number, since it uses less digits than its factorization.

313861856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 638 counting only the distinct ones).

The product of its digits is 103680, while the sum is 41.

The square root of 313861856 is about 17716.1467593831. The cubic root of 313861856 is about 679.5887478718.

The spelling of 313861856 in words is "three hundred thirteen million, eight hundred sixty-one thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 49 56 62 77 88 98 112 124 154 176 196 217 224 248 308 341 352 392 434 496 539 587 616 682 784 868 992 1078 1174 1232 1364 1519 1568 1736 2156 2348 2387 2464 2728 3038 3472 4109 4312 4696 4774 5456 6076 6457 6944 8218 8624 9392 9548 10912 12152 12914 16436 16709 17248 18197 18784 19096 24304 25828 28763 32872 33418 36394 38192 45199 48608 51656 57526 65744 66836 72788 76384 90398 103312 115052 127379 131488 133672 145576 180796 200167 206624 230104 254758 267344 291152 316393 361592 400334 460208 509516 534688 582304 632786 723184 800668 891653 920416 1019032 1265572 1401169 1446368 1601336 1783306 2038064 2531144 2802338 3202672 3566612 4076128 5062288 5604676 6405344 7133224 9808183 10124576 11209352 14266448 19616366 22418704 28532896 39232732 44837408 78465464 156930928 313861856