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56091200 = 2652113187
BaseRepresentation
bin1101010111111…
…0001001000000
310220112201122212
43111332021000
5103324404300
65322121252
71250524124
oct325761100
9126481585
1056091200
1129731170
1216950228
13b80ba79
147641584
154dce935
hex357e240

56091200 has 84 divisors (see below), whose sum is σ = 150613872. Its totient is φ = 20390400.

The previous prime is 56091197. The next prime is 56091209. The reversal of 56091200 is 219065.

It is not an unprimeable number, because it can be changed into a prime (56091209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16007 + ... + 19193.

Almost surely, 256091200 is an apocalyptic number.

56091200 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 56091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75306936).

56091200 is an abundant number, since it is smaller than the sum of its proper divisors (94522672).

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

56091200 is a wasteful number, since it uses less digits than its factorization.

56091200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3220 (or 3205 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 56091200 is about 7489.4058509337. The cubic root of 56091200 is about 382.7938135818.

The spelling of 56091200 in words is "fifty-six million, ninety-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 160 176 200 220 275 320 352 400 440 550 704 800 880 1100 1600 1760 2200 3187 3520 4400 6374 8800 12748 15935 17600 25496 31870 35057 50992 63740 70114 79675 101984 127480 140228 159350 175285 203968 254960 280456 318700 350570 509920 560912 637400 701140 876425 1019840 1121824 1274800 1402280 1752850 2243648 2549600 2804560 3505700 5099200 5609120 7011400 11218240 14022800 28045600 56091200