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2856451092 = 22311157337409
BaseRepresentation
bin1010101001000001…
…1111110000010100
321101001220202020220
42222100133300110
521322222413332
61151235354340
7130533301515
oct25220376024
97331822226
102856451092
111236434a90
126787529b0
13366a33a61
141d151aa0c
1511ab8ad2c
hexaa41fc14

2856451092 has 96 divisors (see below), whose sum is σ = 7356935040. Its totient is φ = 855429120.

The previous prime is 2856451049. The next prime is 2856451093. The reversal of 2856451092 is 2901546582.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2856451093) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6983784 + ... + 6984192.

It is an arithmetic number, because the mean of its divisors is an integer number (76634740).

Almost surely, 22856451092 is an apocalyptic number.

2856451092 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2856451092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3678467520).

2856451092 is an abundant number, since it is smaller than the sum of its proper divisors (4500483948).

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

2856451092 is a wasteful number, since it uses less digits than its factorization.

2856451092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 2856451092 is about 53445.7771203675. Note that the first 3 decimals coincide. The cubic root of 2856451092 is about 1418.8688823460.

The spelling of 2856451092 in words is "two billion, eight hundred fifty-six million, four hundred fifty-one thousand, ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 157 314 337 409 471 628 674 818 942 1011 1227 1348 1636 1727 1884 2022 2454 3454 3707 4044 4499 4908 5181 6908 7414 8998 10362 11121 13497 14828 17996 20724 22242 26994 44484 52909 53988 64213 105818 128426 137833 158727 192639 211636 256852 275666 317454 385278 413499 551332 581999 634908 706343 770556 826998 1163998 1412686 1516163 1653996 1745997 2119029 2327996 2825372 3032326 3491994 4238058 4548489 6064652 6983988 8476116 9096978 18193956 21639781 43279562 64919343 86559124 129838686 238037591 259677372 476075182 714112773 952150364 1428225546 2856451092