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268505856 = 2832116539
BaseRepresentation
bin10000000000010…
…001001100000000
3200201020111210100
4100000101030000
51022214141411
642351002400
76440155623
oct2000211400
9621214710
10268505856
11128623473
1275b09400
1343821a08
1427935dba
151888c456
hex10011300

268505856 has 54 divisors (see below), whose sum is σ = 774175220. Its totient is φ = 89501184.

The previous prime is 268505833. The next prime is 268505857. The reversal of 268505856 is 658505862.

268505856 is a `hidden beast` number, since 2 + 68 + 5 + 0 + 585 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (268505857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55966 + ... + 60573.

Almost surely, 2268505856 is an apocalyptic number.

It is an amenable number.

268505856 is an abundant number, since it is smaller than the sum of its proper divisors (505669364).

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

268505856 is a wasteful number, since it uses less digits than its factorization.

268505856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116561 (or 116544 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The square root of 268505856 is about 16386.1482966559. The cubic root of 268505856 is about 645.1359655677.

It can be divided in two parts, 268505 and 856, that added together give a square (269361 = 5192).

The spelling of 268505856 in words is "two hundred sixty-eight million, five hundred five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 116539 233078 349617 466156 699234 932312 1048851 1398468 1864624 2097702 2796936 3729248 4195404 5593872 7458496 8390808 11187744 14916992 16781616 22375488 29833984 33563232 44750976 67126464 89501952 134252928 268505856