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272866368 = 2632236373
BaseRepresentation
bin10000010000111…
…001110001000000
3201000110001021210
4100100321301000
51024323210433
643024250120
76522216525
oct2020716100
9630401253
10272866368
111300315a5
1277470940
13446ba6b8
142834d14c
1518e4e463
hex10439c40

272866368 has 56 divisors (see below), whose sum is σ = 725310208. Its totient is φ = 90533376.

The previous prime is 272866351. The next prime is 272866397. The reversal of 272866368 is 863668272.

It is a happy number.

It is a super-2 number, since 2×2728663682 = 148912109571022848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39630 + ... + 46002.

It is an arithmetic number, because the mean of its divisors is an integer number (12951968).

Almost surely, 2272866368 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 272866368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362655104).

272866368 is an abundant number, since it is smaller than the sum of its proper divisors (452443840).

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

272866368 is a wasteful number, since it uses less digits than its factorization.

272866368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6611 (or 6601 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 272866368 is about 16518.6672585896. The cubic root of 272866368 is about 648.6095468531.

It can be divided in two parts, 2728 and 66368, that added together give a palindrome (69096).

The spelling of 272866368 in words is "two hundred seventy-two million, eight hundred sixty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 223 446 669 892 1338 1784 2676 3568 5352 6373 7136 10704 12746 14272 19119 21408 25492 38238 42816 50984 76476 101968 152952 203936 305904 407872 611808 1223616 1421179 2842358 4263537 5684716 8527074 11369432 17054148 22738864 34108296 45477728 68216592 90955456 136433184 272866368