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686378052 = 2232233892131
BaseRepresentation
bin101000111010010…
…100110001000100
31202211112121200100
4220322110301010
52401203044202
6152035244100
723003055123
oct5072246104
91684477610
10686378052
11322495a98
12171a49630
13ac280079
146722daba
15403d141c
hex28e94c44

686378052 has 72 divisors (see below), whose sum is σ = 1815952320. Its totient is φ = 218180160.

The previous prime is 686377987. The next prime is 686378071. The reversal of 686378052 is 250873686.

686378052 is a `hidden beast` number, since 6 + 8 + 637 + 8 + 0 + 5 + 2 = 666.

It is a super-2 number, since 2×6863780522 = 942229660534629408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 686377989 and 686378007.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321027 + ... + 323157.

It is an arithmetic number, because the mean of its divisors is an integer number (25221560).

Almost surely, 2686378052 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 686378052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907976160).

686378052 is an abundant number, since it is smaller than the sum of its proper divisors (1129574268).

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

686378052 is a wasteful number, since it uses less digits than its factorization.

686378052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2553 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 686378052 is about 26198.8177595860. The cubic root of 686378052 is about 882.1067173077.

The spelling of 686378052 in words is "six hundred eighty-six million, three hundred seventy-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 389 414 778 828 1167 1556 2131 2334 3501 4262 4668 6393 7002 8524 8947 12786 14004 17894 19179 25572 26841 35788 38358 49013 53682 76716 80523 98026 107364 147039 161046 196052 294078 322092 441117 588156 828959 882234 1657918 1764468 2486877 3315836 4973754 7460631 9947508 14921262 19066057 29842524 38132114 57198171 76264228 114396342 171594513 228792684 343189026 686378052