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268744608 = 25331128277
BaseRepresentation
bin10000000001001…
…011011110100000
3200201200122022000
4100001023132200
51022244311413
642400044000
76442201656
oct2001133640
9621618260
10268744608
11128776890
1276003600
13438a65a2
1427998dd6
15188d8073
hex1004b7a0

268744608 has 96 divisors (see below), whose sum is σ = 855126720. Its totient is φ = 81434880.

The previous prime is 268744603. The next prime is 268744631. The reversal of 268744608 is 806447862.

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

It is not an unprimeable number, because it can be changed into a prime (268744603) 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, 4635 + ... + 23642.

It is an arithmetic number, because the mean of its divisors is an integer number (8907570).

Almost surely, 2268744608 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 268744608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427563360).

268744608 is an abundant number, since it is smaller than the sum of its proper divisors (586382112).

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

268744608 is a wasteful number, since it uses less digits than its factorization.

268744608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28307 (or 28293 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 268744608 is about 16393.4318554719. The cubic root of 268744608 is about 645.3271244916.

The spelling of 268744608 in words is "two hundred sixty-eight million, seven hundred forty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 28277 56554 84831 113108 169662 226216 254493 311047 339324 452432 508986 622094 678648 763479 904864 933141 1017972 1244188 1357296 1526958 1866282 2035944 2488376 2714592 2799423 3053916 3732564 4071888 4976752 5598846 6107832 7465128 8143776 8398269 9953504 11197692 12215664 14930256 16796538 22395384 24431328 29860512 33593076 44790768 67186152 89581536 134372304 268744608