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728092096 = 26295961109
BaseRepresentation
bin101011011001011…
…100110111000000
31212202000220120221
4223121130313000
52442342421341
6200125312424
724020452324
oct5331346700
91782026527
10728092096
11343a97406
12183a05714
13b7ac6b34
146c9ab984
1543dc0ed1
hex2b65cdc0

728092096 has 112 divisors (see below), whose sum is σ = 1559052000. Its totient is φ = 336752640.

The previous prime is 728092081. The next prime is 728092097. The reversal of 728092096 is 690290827.

It is a happy number.

728092096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728092097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6679690 + ... + 6679798.

Almost surely, 2728092096 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 728092096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779526000).

728092096 is an abundant number, since it is smaller than the sum of its proper divisors (830959904).

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

728092096 is a wasteful number, since it uses less digits than its factorization.

728092096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 728092096 is about 26983.1817249189. The cubic root of 728092096 is about 899.6262217427.

The spelling of 728092096 in words is "seven hundred twenty-eight million, ninety-two thousand, ninety-six".

Divisors: 1 2 4 8 16 29 32 58 59 61 64 109 116 118 122 218 232 236 244 436 464 472 488 872 928 944 976 1711 1744 1769 1856 1888 1952 3161 3422 3488 3538 3599 3776 3904 6322 6431 6649 6844 6976 7076 7198 12644 12862 13298 13688 14152 14396 25288 25724 26596 27376 28304 28792 50576 51448 53192 54752 56608 57584 101152 102896 104371 106384 109504 113216 115168 186499 192821 202304 205792 208742 212768 230336 372998 385642 392291 411584 417484 425536 745996 771284 784582 834968 1491992 1542568 1569164 1669936 2983984 3085136 3138328 3339872 5967968 6170272 6276656 6679744 11376439 11935936 12340544 12553312 22752878 25106624 45505756 91011512 182023024 364046048 728092096