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56056500 = 22325312457
BaseRepresentation
bin1101010111010…
…1101010110100
310220110222001200
43111311222310
5103322302000
65321252500
71250321013
oct325655264
9126428050
1056056500
1129708095
1216934130
13b7c9036
147632a7a
154dc4500
hex3575ab4

56056500 has 72 divisors (see below), whose sum is σ = 176853768. Its totient is φ = 14947200.

The previous prime is 56056493. The next prime is 56056523. The reversal of 56056500 is 565065.

56056500 is a `hidden beast` number, since 5 + 6 + 0 + 5 + 650 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 76176 + 55980324 = 276^2 + 7482^2 .

It is a congruent number.

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, 1729 + ... + 10728.

Almost surely, 256056500 is an apocalyptic number.

56056500 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 56056500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88426884).

56056500 is an abundant number, since it is smaller than the sum of its proper divisors (120797268).

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

56056500 is a wasteful number, since it uses less digits than its factorization.

56056500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12482 (or 12467 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 56056500 is about 7487.0888868772. The cubic root of 56056500 is about 382.7148607017.

The spelling of 56056500 in words is "fifty-six million, fifty-six thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 750 900 1125 1500 2250 4500 12457 24914 37371 49828 62285 74742 112113 124570 149484 186855 224226 249140 311425 373710 448452 560565 622850 747420 934275 1121130 1245700 1557125 1868550 2242260 2802825 3114250 3737100 4671375 5605650 6228500 9342750 11211300 14014125 18685500 28028250 56056500