Search a number
-
+
272753404 = 227211731733
BaseRepresentation
bin10000010000011…
…110001011111100
3201000020022022221
4100100132023330
51024311102104
643022015124
76521236300
oct2020361374
9630208287
10272753404
1112aa64740
12774174a4
134467b161
142831dd00
1518e2ac54
hex1041e2fc

272753404 has 72 divisors (see below), whose sum is σ = 614377008. Its totient is φ = 104751360.

The previous prime is 272753347. The next prime is 272753447. The reversal of 272753404 is 404357272.

It is a self number, because there is not a number n which added to its sum of digits gives 272753404.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 156522 + ... + 158254.

It is an arithmetic number, because the mean of its divisors is an integer number (8533014).

Almost surely, 2272753404 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 272753404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307188504).

272753404 is an abundant number, since it is smaller than the sum of its proper divisors (341623604).

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

272753404 is a wasteful number, since it uses less digits than its factorization.

272753404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 34.

The square root of 272753404 is about 16515.2476215163. The cubic root of 272753404 is about 648.5200285019.

The spelling of 272753404 in words is "two hundred seventy-two million, seven hundred fifty-three thousand, four hundred four".

Divisors: 1 2 4 7 11 14 22 28 44 49 73 77 98 146 154 196 292 308 511 539 803 1022 1078 1606 1733 2044 2156 3212 3466 3577 5621 6932 7154 11242 12131 14308 19063 22484 24262 38126 39347 48524 76252 78694 84917 126509 133441 157388 169834 253018 266882 339668 506036 533764 885563 934087 1391599 1771126 1868174 2783198 3542252 3736348 5566396 6198941 9741193 12397882 19482386 24795764 38964772 68188351 136376702 272753404