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272728092 = 2237131371823
BaseRepresentation
bin10000010000011…
…000000000011100
3201000012000121110
4100100120000130
51024304244332
643021302020
76521102430
oct2020300034
9630160543
10272728092
1112aa4771a
1277404910
134466c790
14283149c0
1518e234cc
hex1041801c

272728092 has 96 divisors (see below), whose sum is σ = 789368832. Its totient is φ = 71364096.

The previous prime is 272728091. The next prime is 272728103. The reversal of 272728092 is 290827272.

It is a super-2 number, since 2×2727280922 = 148761224331920928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 272728092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272728091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148693 + ... + 150515.

It is an arithmetic number, because the mean of its divisors is an integer number (8222592).

Almost surely, 2272728092 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 272728092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394684416).

272728092 is an abundant number, since it is smaller than the sum of its proper divisors (516640740).

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

272728092 is a wasteful number, since it uses less digits than its factorization.

272728092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 272728092 is about 16514.4812815904. The cubic root of 272728092 is about 648.4999666114.

The spelling of 272728092 in words is "two hundred seventy-two million, seven hundred twenty-eight thousand, ninety-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 137 156 182 273 274 364 411 546 548 822 959 1092 1644 1781 1823 1918 2877 3562 3646 3836 5343 5469 5754 7124 7292 10686 10938 11508 12467 12761 21372 21876 23699 24934 25522 37401 38283 47398 49868 51044 71097 74802 76566 94796 142194 149604 153132 165893 249751 284388 331786 497679 499502 663572 749253 995358 999004 1498506 1748257 1990716 2997012 3246763 3496514 5244771 6493526 6993028 9740289 10489542 12987052 19480578 20979084 22727341 38961156 45454682 68182023 90909364 136364046 272728092