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682427400 = 233523793001
BaseRepresentation
bin101000101011010…
…000010000001000
31202120002220101220
4220223100100020
52344200134100
6151414442040
722624352154
oct5053202010
91676086356
10682427400
11320237896
12170663320
13ab4c8ac5
14668c2064
153eda0aa0
hex28ad0408

682427400 has 96 divisors (see below), whose sum is σ = 2121813600. Its totient is φ = 181440000.

The previous prime is 682427399. The next prime is 682427419. The reversal of 682427400 is 4724286.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 225900 + ... + 228900.

It is an arithmetic number, because the mean of its divisors is an integer number (22102225).

Almost surely, 2682427400 is an apocalyptic number.

682427400 is a gapful number since it is divisible by the number (60) 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 682427400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060906800).

682427400 is an abundant number, since it is smaller than the sum of its proper divisors (1439386200).

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

682427400 is a wasteful number, since it uses less digits than its factorization.

682427400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3399 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 682427400 is about 26123.3114286838. The cubic root of 682427400 is about 880.4110510797.

The spelling of 682427400 in words is "six hundred eighty-two million, four hundred twenty-seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 379 600 758 1137 1516 1895 2274 3001 3032 3790 4548 5685 6002 7580 9003 9096 9475 11370 12004 15005 15160 18006 18950 22740 24008 28425 30010 36012 37900 45015 45480 56850 60020 72024 75025 75800 90030 113700 120040 150050 180060 225075 227400 300100 360120 450150 600200 900300 1137379 1800600 2274758 3412137 4549516 5686895 6824274 9099032 11373790 13648548 17060685 22747580 27297096 28434475 34121370 45495160 56868950 68242740 85303425 113737900 136485480 170606850 227475800 341213700 682427400