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268402656 = 25329229421
BaseRepresentation
bin11111111111101…
…11111111100000
3200201001021020010
433333313333200
51022202341111
642344444520
76436246014
oct1777677740
9621037203
10268402656
11128562985
1275a79740
13437b6a52
142790a544
151886baa6
hexfff7fe0

268402656 has 96 divisors (see below), whose sum is σ = 733773600. Its totient is φ = 85800960.

The previous prime is 268402633. The next prime is 268402657. The reversal of 268402656 is 656204862.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268402657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 637326 + ... + 637746.

It is an arithmetic number, because the mean of its divisors is an integer number (7643475).

Almost surely, 2268402656 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 268402656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366886800).

268402656 is an abundant number, since it is smaller than the sum of its proper divisors (465370944).

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

268402656 is a wasteful number, since it uses less digits than its factorization.

268402656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 268402656 is about 16382.9989928584. The cubic root of 268402656 is about 645.0533024876.

The spelling of 268402656 in words is "two hundred sixty-eight million, four hundred two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 229 232 348 421 458 464 687 696 842 916 928 1263 1374 1392 1684 1832 2526 2748 2784 3368 3664 5052 5496 6641 6736 7328 10104 10992 12209 13282 13472 19923 20208 21984 24418 26564 36627 39846 40416 48836 53128 73254 79692 96409 97672 106256 146508 159384 192818 195344 212512 289227 293016 318768 385636 390688 578454 586032 637536 771272 1156908 1172064 1542544 2313816 2795861 3085088 4627632 5591722 8387583 9255264 11183444 16775166 22366888 33550332 44733776 67100664 89467552 134201328 268402656