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268931808 = 25322933187
BaseRepresentation
bin10000000001111…
…001001011100000
3200202001011002100
4100001321023200
51022321304213
642404050400
76443611515
oct2001711340
9622034070
10268931808
111288944a2
1276093a00
1343940862
1427a0730c
1518923773
hex100792e0

268931808 has 72 divisors (see below), whose sum is σ = 767625768. Its totient is φ = 89309952.

The previous prime is 268931783. The next prime is 268931813. The reversal of 268931808 is 808139862.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82791 + ... + 85977.

It is an arithmetic number, because the mean of its divisors is an integer number (10661469).

Almost surely, 2268931808 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 268931808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383812884).

268931808 is an abundant number, since it is smaller than the sum of its proper divisors (498693960).

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

268931808 is a wasteful number, since it uses less digits than its factorization.

268931808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3496 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 268931808 is about 16399.1404652805. The cubic root of 268931808 is about 645.4769286738.

The spelling of 268931808 in words is "two hundred sixty-eight million, nine hundred thirty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 293 586 879 1172 1758 2344 2637 3187 3516 4688 5274 6374 7032 9376 9561 10548 12748 14064 19122 21096 25496 28128 28683 38244 42192 50992 57366 76488 84384 101984 114732 152976 229464 305952 458928 917856 933791 1867582 2801373 3735164 5602746 7470328 8404119 11205492 14940656 16808238 22410984 29881312 33616476 44821968 67232952 89643936 134465904 268931808