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268265816 = 237133111887
BaseRepresentation
bin11111111110101…
…10100101011000
3200200210022111222
433333112211120
51022134001231
642341511212
76435136040
oct1777264530
9620708458
10268265816
1112847a095
1275a12508
1343769690
14278b2720
151884127b
hexffd6958

268265816 has 64 divisors (see below), whose sum is σ = 639098880. Its totient is φ = 102695040.

The previous prime is 268265791. The next prime is 268265821. The reversal of 268265816 is 618562862.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16625 + ... + 28511.

It is an arithmetic number, because the mean of its divisors is an integer number (9985920).

Almost surely, 2268265816 is an apocalyptic number.

268265816 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268265816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319549440).

268265816 is an abundant number, since it is smaller than the sum of its proper divisors (370833064).

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

268265816 is a wasteful number, since it uses less digits than its factorization.

268265816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11944 (or 11940 counting only the distinct ones).

The product of its digits is 276480, while the sum is 44.

The square root of 268265816 is about 16378.8221798761. The cubic root of 268265816 is about 644.9436611248.

The spelling of 268265816 in words is "two hundred sixty-eight million, two hundred sixty-five thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 13 14 26 28 31 52 56 62 91 104 124 182 217 248 364 403 434 728 806 868 1612 1736 2821 3224 5642 11284 11887 22568 23774 47548 83209 95096 154531 166418 309062 332836 368497 618124 665672 736994 1081717 1236248 1473988 2163434 2579479 2947976 4326868 4790461 5158958 8653736 9580922 10317916 19161844 20635832 33533227 38323688 67066454 134132908 268265816