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686850112 = 26131814561
BaseRepresentation
bin101000111100001…
…000000001000000
31202212102121020001
4220330020001000
52401313200422
6152053325344
723010062314
oct5074100100
91685377201
10686850112
11322788723
12172036854
13ac3b6bb0
1467313b44
1540476227
hex28f08040

686850112 has 56 divisors (see below), whose sum is σ = 1476244952. Its totient is φ = 315187200.

The previous prime is 686850107. The next prime is 686850119. The reversal of 686850112 is 211058686.

It can be written as a sum of positive squares in 4 ways, for example, as 34762816 + 652087296 = 5896^2 + 25536^2 .

It is not an unprimeable number, because it can be changed into a prime (686850119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148312 + ... + 152872.

It is an arithmetic number, because the mean of its divisors is an integer number (26361517).

Almost surely, 2686850112 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 686850112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738122476).

686850112 is an abundant number, since it is smaller than the sum of its proper divisors (789394840).

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

686850112 is a wasteful number, since it uses less digits than its factorization.

686850112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4767 (or 4757 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 686850112 is about 26207.8253962438. The cubic root of 686850112 is about 882.3088954271.

The spelling of 686850112 in words is "six hundred eighty-six million, eight hundred fifty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 181 208 362 416 724 832 1448 2353 2896 4561 4706 5792 9122 9412 11584 18244 18824 36488 37648 59293 72976 75296 118586 145952 150592 237172 291904 474344 825541 948688 1651082 1897376 3302164 3794752 6604328 10732033 13208656 21464066 26417312 42928132 52834624 85856264 171712528 343425056 686850112