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272793444 = 223711833557
BaseRepresentation
bin10000010000100…
…111111101100100
3201000022100020220
4100100213331210
51024313342234
643022524340
76521464110
oct2020477544
9630270226
10272793444
1112aa91830
12774366b0
1344693451
1428330740
1518e37a49
hex10427f64

272793444 has 96 divisors (see below), whose sum is σ = 803367936. Its totient is φ = 69982080.

The previous prime is 272793439. The next prime is 272793461. The reversal of 272793444 is 444397272.

It is a super-2 number, since 2×2727934442 = 148832526178762272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 272793396 and 272793405.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 74914 + ... + 78470.

It is an arithmetic number, because the mean of its divisors is an integer number (8368416).

Almost surely, 2272793444 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 272793444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401683968).

272793444 is an abundant number, since it is smaller than the sum of its proper divisors (530574492).

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

272793444 is a wasteful number, since it uses less digits than its factorization.

272793444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3665 (or 3663 counting only the distinct ones).

The product of its digits is 338688, while the sum is 42.

The square root of 272793444 is about 16516.4597901608. The cubic root of 272793444 is about 648.5517610376.

The spelling of 272793444 in words is "two hundred seventy-two million, seven hundred ninety-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 83 84 132 154 166 231 249 308 332 462 498 581 913 924 996 1162 1743 1826 2324 2739 3486 3557 3652 5478 6391 6972 7114 10671 10956 12782 14228 19173 21342 24899 25564 38346 39127 42684 49798 74697 76692 78254 99596 117381 149394 156508 234762 273889 295231 298788 469524 547778 590462 821667 885693 1095556 1180924 1643334 1771386 2066617 3247541 3286668 3542772 4133234 6199851 6495082 8266468 9742623 12399702 12990164 19485246 22732787 24799404 38970492 45465574 68198361 90931148 136396722 272793444