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2856089232 = 243247479881
BaseRepresentation
bin1010101000111100…
…0111011010010000
321101001020100212200
42222033013122100
521322124323412
61151223523200
7130530233523
oct25217073220
97331210780
102856089232
111236208127
126785b9500
13366938139
141d1464bba
1511ab189dc
hexaa3c7690

2856089232 has 120 divisors (see below), whose sum is σ = 8189475840. Its totient is φ = 928773120.

The previous prime is 2856089231. The next prime is 2856089251. The reversal of 2856089232 is 2329806582.

It is a happy number.

2856089232 is a `hidden beast` number, since 2 + 8 + 5 + 608 + 9 + 2 + 32 = 666.

It is a super-2 number, since 2×28560892322 = 16314491402292699648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2856089231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3241432 + ... + 3242312.

It is an arithmetic number, because the mean of its divisors is an integer number (68245632).

Almost surely, 22856089232 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 2856089232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4094737920).

2856089232 is an abundant number, since it is smaller than the sum of its proper divisors (5333386608).

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

2856089232 is a wasteful number, since it uses less digits than its factorization.

2856089232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2856089232 is about 53442.3917129464. The cubic root of 2856089232 is about 1418.8089649217.

The spelling of 2856089232 in words is "two billion, eight hundred fifty-six million, eighty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 479 564 752 846 881 958 1128 1437 1692 1762 1916 2256 2643 2874 3384 3524 3832 4311 5286 5748 6768 7048 7664 7929 8622 10572 11496 14096 15858 17244 21144 22513 22992 31716 34488 41407 42288 45026 63432 67539 68976 82814 90052 124221 126864 135078 165628 180104 202617 248442 270156 331256 360208 372663 405234 421999 496884 540312 662512 745326 810468 843998 993768 1080624 1265997 1490652 1620936 1687996 1987536 2531994 2981304 3241872 3375992 3797991 5063988 5962608 6751984 7595982 10127976 15191964 19833953 20255952 30383928 39667906 59501859 60767856 79335812 119003718 158671624 178505577 238007436 317343248 357011154 476014872 714022308 952029744 1428044616 2856089232