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268647372 = 223272833767
BaseRepresentation
bin10000000000110…
…011101111001100
3200201111200220200
4100000303233030
51022233203442
642354013500
76441315330
oct2000635714
9621450820
10268647372
1112870a824
1275b77290
1343871256
14279717c0
15188b934c
hex10033bcc

268647372 has 72 divisors (see below), whose sum is σ = 779041536. Its totient is φ = 76464864.

The previous prime is 268647371. The next prime is 268647409. The reversal of 268647372 is 273746862.

It is not an unprimeable number, because it can be changed into a prime (268647371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69433 + ... + 73199.

Almost surely, 2268647372 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 268647372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389520768).

268647372 is an abundant number, since it is smaller than the sum of its proper divisors (510394164).

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

268647372 is a wasteful number, since it uses less digits than its factorization.

268647372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4067 (or 4062 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 268647372 is about 16390.4658872163. The cubic root of 268647372 is about 645.2492852893.

The spelling of 268647372 in words is "two hundred sixty-eight million, six hundred forty-seven thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 283 566 849 1132 1698 1981 2547 3396 3767 3962 5094 5943 7534 7924 10188 11301 11886 15068 17829 22602 23772 26369 33903 35658 45204 52738 67806 71316 79107 105476 135612 158214 237321 316428 474642 949284 1066061 2132122 3198183 4264244 6396366 7462427 9594549 12792732 14924854 19189098 22387281 29849708 38378196 44774562 67161843 89549124 134323686 268647372