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268626064 = 24710123747
BaseRepresentation
bin10000000000101…
…110100010010000
3200201110121200111
4100000232202100
51022232013224
642353331104
76441166240
oct2000564220
9621417614
10268626064
111286a5813
1275b66a94
1343864645
1427967b20
15188b2d94
hex1002e890

268626064 has 40 divisors (see below), whose sum is σ = 600729408. Its totient is φ = 113980800.

The previous prime is 268625899. The next prime is 268626089. The reversal of 268626064 is 460626862.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 562 + ... + 23185.

Almost surely, 2268626064 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 268626064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300364704).

268626064 is an abundant number, since it is smaller than the sum of its proper divisors (332103344).

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

268626064 is a wasteful number, since it uses less digits than its factorization.

268626064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23863 (or 23857 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The square root of 268626064 is about 16389.8158622969. The cubic root of 268626064 is about 645.2322253355.

The spelling of 268626064 in words is "two hundred sixty-eight million, six hundred twenty-six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 101 112 202 404 707 808 1414 1616 2828 5656 11312 23747 47494 94988 166229 189976 332458 379952 664916 1329832 2398447 2659664 4796894 9593788 16789129 19187576 33578258 38375152 67156516 134313032 268626064