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272798928 = 2434375689
BaseRepresentation
bin10000010000101…
…001010011010000
3201000022121210000
4100100221103100
51024314031203
643023010000
76521516103
oct2020512320
9630277700
10272798928
1112aa95966
1277439900
1344695aac
142833273a
1518e394a3
hex104294d0

272798928 has 100 divisors (see below), whose sum is σ = 811041220. Its totient is φ = 88459776.

The previous prime is 272798927. The next prime is 272798971. The reversal of 272798928 is 829897272.

It can be written as a sum of positive squares in 2 ways, for example, as 253191744 + 19607184 = 15912^2 + 4428^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272798927) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45108 + ... + 50796.

Almost surely, 2272798928 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 272798928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405520610).

272798928 is an abundant number, since it is smaller than the sum of its proper divisors (538242292).

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

272798928 is a wasteful number, since it uses less digits than its factorization.

272798928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5746 (or 5731 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 272798928 is about 16516.6258055330. The cubic root of 272798928 is about 648.5561069803.

The spelling of 272798928 in words is "two hundred seventy-two million, seven hundred ninety-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 144 148 162 216 222 296 324 333 432 444 592 648 666 888 999 1296 1332 1776 1998 2664 2997 3996 5328 5689 5994 7992 11378 11988 15984 17067 22756 23976 34134 45512 47952 51201 68268 91024 102402 136536 153603 204804 210493 273072 307206 409608 420986 460809 614412 631479 819216 841972 921618 1228824 1262958 1683944 1843236 1894437 2457648 2525916 3367888 3686472 3788874 5051832 5683311 7372944 7577748 10103664 11366622 15155496 17049933 22733244 30310992 34099866 45466488 68199732 90932976 136399464 272798928