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272236048 = 2473189881
BaseRepresentation
bin10000001110011…
…111111000010000
3200222021000122121
4100032133320100
51024143023143
643002544024
76513653050
oct2016377020
9628230577
10272236048
1112a740a77
1277208014
1344529826
1428227560
1518d777ed
hex1039fe10

272236048 has 80 divisors (see below), whose sum is σ = 629959680. Its totient is φ = 111513600.

The previous prime is 272236043. The next prime is 272236049. The reversal of 272236048 is 840632272.

It is a super-2 number, since 2×2722360482 = 148224931661316608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (272236043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308568 + ... + 309448.

It is an arithmetic number, because the mean of its divisors is an integer number (7874496).

Almost surely, 2272236048 is an apocalyptic number.

272236048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272236048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314979840).

272236048 is an abundant number, since it is smaller than the sum of its proper divisors (357723632).

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

272236048 is a wasteful number, since it uses less digits than its factorization.

272236048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 272236048 is about 16499.5772067044. The cubic root of 272236048 is about 648.1097334868.

The spelling of 272236048 in words is "two hundred seventy-two million, two hundred thirty-six thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 89 112 124 178 217 248 356 434 496 623 712 868 881 1246 1424 1736 1762 2492 2759 3472 3524 4984 5518 6167 7048 9968 11036 12334 14096 19313 22072 24668 27311 38626 44144 49336 54622 77252 78409 98672 109244 154504 156818 191177 218488 309008 313636 382354 436976 548863 627272 764708 1097726 1254544 1529416 2195452 2430679 3058832 4390904 4861358 8781808 9722716 17014753 19445432 34029506 38890864 68059012 136118024 272236048