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680825248 = 25177117627
BaseRepresentation
bin101000100101001…
…001000110100000
31202110002111122221
4220211021012200
52343242401443
6151320240424
722604630155
oct5045110640
91673074587
10680825248
1131a3430a4
12170010114
13ab08779c
14665c622c
153eb85eed
hex289491a0

680825248 has 48 divisors (see below), whose sum is σ = 1439290944. Its totient is φ = 315857920.

The previous prime is 680825219. The next prime is 680825263. The reversal of 680825248 is 842528086.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29811 + ... + 47437.

It is an arithmetic number, because the mean of its divisors is an integer number (29985228).

Almost surely, 2680825248 is an apocalyptic number.

680825248 is a gapful number since it is divisible by the number (68) 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 680825248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719645472).

680825248 is an abundant number, since it is smaller than the sum of its proper divisors (758465696).

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

680825248 is a wasteful number, since it uses less digits than its factorization.

680825248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17725 (or 17717 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 43.

The square root of 680825248 is about 26092.6282309774. The cubic root of 680825248 is about 879.7215234555.

The spelling of 680825248 in words is "six hundred eighty million, eight hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 71 136 142 272 284 544 568 1136 1207 2272 2414 4828 9656 17627 19312 35254 38624 70508 141016 282032 299659 564064 599318 1198636 1251517 2397272 2503034 4794544 5006068 9589088 10012136 20024272 21275789 40048544 42551578 85103156 170206312 340412624 680825248