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56884200 = 23352113839
BaseRepresentation
bin1101100011111…
…1101111101000
310222001000110020
43120333233220
5104030243300
65351120440
71260336102
oct330775750
9128030406
1056884200
112a122a3a
1217073120
13ba289b9
1477aa572
154ed98a0
hex363fbe8

56884200 has 96 divisors (see below), whose sum is σ = 178113600. Its totient is φ = 15016960.

The previous prime is 56884183. The next prime is 56884237. The reversal of 56884200 is 248865.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67381 + ... + 68219.

It is an arithmetic number, because the mean of its divisors is an integer number (1855350).

Almost surely, 256884200 is an apocalyptic number.

56884200 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 56884200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89056800).

56884200 is an abundant number, since it is smaller than the sum of its proper divisors (121229400).

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

56884200 is a wasteful number, since it uses less digits than its factorization.

56884200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 56884200 is about 7542.1614938955. The cubic root of 56884200 is about 384.5893186438.

The spelling of 56884200 in words is "fifty-six million, eight hundred eighty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 113 120 150 200 226 300 339 452 565 600 678 839 904 1130 1356 1678 1695 2260 2517 2712 2825 3356 3390 4195 4520 5034 5650 6712 6780 8390 8475 10068 11300 12585 13560 16780 16950 20136 20975 22600 25170 33560 33900 41950 50340 62925 67800 83900 94807 100680 125850 167800 189614 251700 284421 379228 474035 503400 568842 758456 948070 1137684 1422105 1896140 2275368 2370175 2844210 3792280 4740350 5688420 7110525 9480700 11376840 14221050 18961400 28442100 56884200