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56823300 = 223252193323
BaseRepresentation
bin1101100011000…
…0111000000100
310221220220220200
43120300320010
5104021321200
65345530500
71256663412
oct330607004
9127826820
1056823300
112a091206
1217043a30
13ba07071
1477922b2
154ec6800
hex3630e04

56823300 has 108 divisors (see below), whose sum is σ = 187540080. Its totient is φ = 14351040.

The previous prime is 56823241. The next prime is 56823301. The reversal of 56823300 is 332865.

It is not an unprimeable number, because it can be changed into a prime (56823301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15439 + ... + 18761.

Almost surely, 256823300 is an apocalyptic number.

56823300 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 56823300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93770040).

56823300 is an abundant number, since it is smaller than the sum of its proper divisors (130716780).

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

56823300 is a wasteful number, since it uses less digits than its factorization.

56823300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3362 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 56823300 is about 7538.1231085728. The cubic root of 56823300 is about 384.4520230339.

The spelling of 56823300 in words is "fifty-six million, eight hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 75 76 90 95 100 114 150 171 180 190 225 228 285 300 342 380 450 475 570 684 855 900 950 1140 1425 1710 1900 2850 3323 3420 4275 5700 6646 8550 9969 13292 16615 17100 19938 29907 33230 39876 49845 59814 63137 66460 83075 99690 119628 126274 149535 166150 189411 199380 249225 252548 299070 315685 332300 378822 498450 568233 598140 631370 747675 757644 947055 996900 1136466 1262740 1495350 1578425 1894110 2272932 2841165 2990700 3156850 3788220 4735275 5682330 6313700 9470550 11364660 14205825 18941100 28411650 56823300