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826484868 = 22321110911913
BaseRepresentation
bin110001010000110…
…010100010000100
32010121011210002200
4301100302202010
53143040003433
6214002234500
726324001606
oct6120624204
92117153080
10826484868
11394590350
121b0955a30
131022c6c01
147baa1176
154c859613
hex31432884

826484868 has 72 divisors (see below), whose sum is σ = 2282376096. Its totient is φ = 250089600.

The previous prime is 826484863. The next prime is 826484881. The reversal of 826484868 is 868484628.

826484868 is a `hidden beast` number, since 82 + 6 + 484 + 86 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (826484863) 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, 431080 + ... + 432992.

It is an arithmetic number, because the mean of its divisors is an integer number (31699668).

Almost surely, 2826484868 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 826484868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141188048).

826484868 is an abundant number, since it is smaller than the sum of its proper divisors (1455891228).

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

826484868 is a wasteful number, since it uses less digits than its factorization.

826484868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3025 (or 3020 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The square root of 826484868 is about 28748.6498465580. The cubic root of 826484868 is about 938.4510736566.

The spelling of 826484868 in words is "eight hundred twenty-six million, four hundred eighty-four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1091 1913 2182 3273 3826 4364 5739 6546 7652 9819 11478 12001 13092 17217 19638 21043 22956 24002 34434 36003 39276 42086 48004 63129 68868 72006 84172 108009 126258 144012 189387 216018 252516 378774 432036 757548 2087083 4174166 6261249 8348332 12522498 18783747 22957913 25044996 37567494 45915826 68873739 75134988 91831652 137747478 206621217 275494956 413242434 826484868