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272254968 = 2332109113307
BaseRepresentation
bin10000001110100…
…100011111111000
3200222021222121100
4100032210133320
51024144124333
643003211400
76514062156
oct2016443770
9628258540
10272254968
1112a754207
1277216b60
134453531b
14282303d6
1518d7d213
hex103a47f8

272254968 has 96 divisors (see below), whose sum is σ = 753152400. Its totient is φ = 88833024.

The previous prime is 272254937. The next prime is 272254981. The reversal of 272254968 is 869452272.

272254968 is a `hidden beast` number, since 27 + 22 + 549 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 886671 + ... + 886977.

Almost surely, 2272254968 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 272254968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376576200).

272254968 is an abundant number, since it is smaller than the sum of its proper divisors (480897432).

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

272254968 is a wasteful number, since it uses less digits than its factorization.

272254968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 534 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 272254968 is about 16500.1505447678. The cubic root of 272254968 is about 648.1247473595.

The spelling of 272254968 in words is "two hundred seventy-two million, two hundred fifty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 113 218 226 307 327 339 436 452 614 654 678 872 904 921 981 1017 1228 1308 1356 1842 1962 2034 2456 2616 2712 2763 3684 3924 4068 5526 7368 7848 8136 11052 12317 22104 24634 33463 34691 36951 49268 66926 69382 73902 98536 100389 104073 110853 133852 138764 147804 200778 208146 221706 267704 277528 295608 301167 312219 401556 416292 443412 602334 624438 803112 832584 886824 1204668 1248876 2409336 2497752 3781319 7562638 11343957 15125276 22687914 30250552 34031871 45375828 68063742 90751656 136127484 272254968