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272000256 = 2831122927
BaseRepresentation
bin10000001101100…
…110010100000000
3200221211001012120
4100031212110000
51024113002011
642553524240
76511651443
oct2015462400
9627731176
10272000256
1112a59a900
1277113680
13444763c8
14281a565a
1518d2ca06
hex10366500

272000256 has 108 divisors (see below), whose sum is σ = 795982656. Its totient is φ = 82396160.

The previous prime is 272000249. The next prime is 272000297. The reversal of 272000256 is 652000272.

272000256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91465 + ... + 94391.

Almost surely, 2272000256 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 272000256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397991328).

272000256 is an abundant number, since it is smaller than the sum of its proper divisors (523982400).

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

272000256 is a wasteful number, since it uses less digits than its factorization.

272000256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2968 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 272000256 is about 16492.4302636088. The cubic root of 272000256 is about 647.9225635252.

The spelling of 272000256 in words is "two hundred seventy-two million, two hundred fifty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 528 704 726 768 968 1056 1408 1452 1936 2112 2816 2904 2927 3872 4224 5808 5854 7744 8448 8781 11616 11708 15488 17562 23232 23416 30976 32197 35124 46464 46832 64394 70248 92928 93664 96591 128788 140496 187328 193182 257576 280992 354167 374656 386364 515152 561984 708334 749312 772728 1030304 1062501 1123968 1416668 1545456 2060608 2125002 2247936 2833336 3090912 4121216 4250004 5666672 6181824 8242432 8500008 11333344 12363648 17000016 22666688 24727296 34000032 45333376 68000064 90666752 136000128 272000256