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272668864 = 26132314249
BaseRepresentation
bin10000010000001…
…001100011000000
3201000002000100211
4100100021203000
51024300400424
643020123504
76520434646
oct2020114300
9630060324
10272668864
1112aa07176
1277396594
134464b830
14282db196
1518e10b94
hex104098c0

272668864 has 56 divisors (see below), whose sum is σ = 608076000. Its totient is φ = 120367104.

The previous prime is 272668853. The next prime is 272668883. The reversal of 272668864 is 468866272.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12012 + ... + 26260.

It is an arithmetic number, because the mean of its divisors is an integer number (10858500).

Almost surely, 2272668864 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 272668864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304038000).

272668864 is an abundant number, since it is smaller than the sum of its proper divisors (335407136).

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

272668864 is a wasteful number, since it uses less digits than its factorization.

272668864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14297 (or 14287 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 49.

The square root of 272668864 is about 16512.6879701640. The cubic root of 272668864 is about 648.4530185852.

The spelling of 272668864 in words is "two hundred seventy-two million, six hundred sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 184 208 299 368 416 598 736 832 1196 1472 2392 4784 9568 14249 19136 28498 56996 113992 185237 227984 327727 370474 455968 655454 740948 911936 1310908 1481896 2621816 2963792 4260451 5243632 5927584 8520902 10487264 11855168 17041804 20974528 34083608 68167216 136334432 272668864