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5682234800 = 2452117611697
BaseRepresentation
bin1010100101011000…
…00000010110110000
3112200000010102202202
411102230000112300
543114123003200
62335502002332
7260545125134
oct52254002660
915600112682
105682234800
112456523120
121126b763a8
136c72bab18
143bc9333c4
15233cba1d5
hex152b005b0

5682234800 has 120 divisors (see below), whose sum is σ = 14920978032. Its totient is φ = 2062336000.

The previous prime is 5682234797. The next prime is 5682234821. The reversal of 5682234800 is 84322865.

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, 3347552 + ... + 3349248.

Almost surely, 25682234800 is an apocalyptic number.

5682234800 is a gapful number since it is divisible by the number (50) 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 5682234800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7460489016).

5682234800 is an abundant number, since it is smaller than the sum of its proper divisors (9238743232).

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

5682234800 is a wasteful number, since it uses less digits than its factorization.

5682234800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 5682234800 is about 75380.5996261638. The cubic root of 5682234800 is about 1784.4582516419.

The spelling of 5682234800 in words is "five billion, six hundred eighty-two million, two hundred thirty-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 761 880 1100 1522 1697 2200 3044 3394 3805 4400 6088 6788 7610 8371 8485 12176 13576 15220 16742 16970 18667 19025 27152 30440 33484 33940 37334 38050 41855 42425 60880 66968 67880 74668 76100 83710 84850 93335 133936 135760 149336 152200 167420 169700 186670 209275 298672 304400 334840 339400 373340 418550 466675 669680 678800 746680 837100 933350 1291417 1493360 1674200 1866700 2582834 3348400 3733400 5165668 6457085 7466800 10331336 12914170 14205587 20662672 25828340 28411174 32285425 51656680 56822348 64570850 71027935 103313360 113644696 129141700 142055870 227289392 258283400 284111740 355139675 516566800 568223480 710279350 1136446960 1420558700 2841117400 5682234800