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5793200 = 245272069
BaseRepresentation
bin10110000110010110110000
3101220022202222
4112012112300
52440340300
6324100212
7100145540
oct26062660
911808688
105793200
1132a7576
121b34668
13127ab3a
14aab320
15796785
hex5865b0

5793200 has 60 divisors (see below), whose sum is σ = 15914160. Its totient is φ = 1985280.

The previous prime is 5793197. The next prime is 5793223. The reversal of 5793200 is 23975.

It is a super-2 number, since 2×57932002 = 67122332480000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5793200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1766 + ... + 3834.

It is an arithmetic number, because the mean of its divisors is an integer number (265236).

Almost surely, 25793200 is an apocalyptic number.

5793200 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 5793200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7957080).

5793200 is an abundant number, since it is smaller than the sum of its proper divisors (10120960).

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

5793200 is a wasteful number, since it uses less digits than its factorization.

5793200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 5793200 is about 2406.9067285626. The cubic root of 5793200 is about 179.5999345241.

The spelling of 5793200 in words is "five million, seven hundred ninety-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2069 2800 4138 8276 10345 14483 16552 20690 28966 33104 41380 51725 57932 72415 82760 103450 115864 144830 165520 206900 231728 289660 362075 413800 579320 724150 827600 1158640 1448300 2896600 5793200