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272097792 = 29312
BaseRepresentation
bin10000001101111…
…110001000000000
3200222000000000000
4100031332020000
51024124112132
643000000000
76512536011
oct2015761000
9628000000
10272097792
1112a65710a
1277160000
13444ab915
14281cd008
1518d4b87c
hex1037e200

272097792 has 130 divisors (see below), whose sum is σ = 815495703. Its totient is φ = 90699264.

The previous prime is 272097743. The next prime is 272097811. The reversal of 272097792 is 297790272.

The cubic root of 272097792 is 648.

It is a perfect power (a cube), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 136048896 + 136048896 = 11664^2 + 11664^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=11664.

It is a super-2 number, since 2×2720977922 = 148074416822550528, which contains 22 as substring.

It is a nialpdrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 12 ways as a sum of consecutive naturals, for example, 90699263 + 90699264 + 90699265.

Almost surely, 2272097792 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 272097792

272097792 is an abundant number, since it is smaller than the sum of its proper divisors (543397911).

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

272097792 is an frugal number, since it uses more digits than its factorization.

272097792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 272097792 is about 16495.3869915198.

The spelling of 272097792 in words is "two hundred seventy-two million, ninety-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1152 1296 1458 1536 1728 1944 2187 2304 2592 2916 3456 3888 4374 4608 5184 5832 6561 6912 7776 8748 10368 11664 13122 13824 15552 17496 19683 20736 23328 26244 31104 34992 39366 41472 46656 52488 59049 62208 69984 78732 93312 104976 118098 124416 139968 157464 177147 186624 209952 236196 279936 314928 354294 373248 419904 472392 531441 559872 629856 708588 839808 944784 1062882 1119744 1259712 1417176 1679616 1889568 2125764 2519424 2834352 3359232 3779136 4251528 5038848 5668704 7558272 8503056 10077696 11337408 15116544 17006112 22674816 30233088 34012224 45349632 68024448 90699264 136048896 272097792