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56785050 = 2345272003
BaseRepresentation
bin1101100010011…
…1100010011010
310221211222110000
43120213202122
5104014110200
65345033430
71256444040
oct330474232
9127758400
1056785050
112a0654a3
1217025876
13b9c282a
147782390
154eba300
hex362789a

56785050 has 120 divisors (see below), whose sum is σ = 180408096. Its totient is φ = 12972960.

The previous prime is 56785037. The next prime is 56785073. The reversal of 56785050 is 5058765.

56785050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 56784996 and 56785014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 27349 + ... + 29351.

Almost surely, 256785050 is an apocalyptic number.

56785050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56785050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90204048).

56785050 is an abundant number, since it is smaller than the sum of its proper divisors (123623046).

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

56785050 is a wasteful number, since it uses less digits than its factorization.

56785050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 56785050 is about 7535.5855777770. The cubic root of 56785050 is about 384.3657404075.

The spelling of 56785050 in words is "fifty-six million, seven hundred eighty-five thousand, fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 81 90 105 126 135 150 162 175 189 210 225 270 315 350 378 405 450 525 567 630 675 810 945 1050 1134 1350 1575 1890 2003 2025 2835 3150 4006 4050 4725 5670 6009 9450 10015 12018 14021 14175 18027 20030 28042 28350 30045 36054 42063 50075 54081 60090 70105 84126 90135 100150 108162 126189 140210 150225 162243 180270 210315 252378 270405 300450 324486 350525 378567 420630 450675 540810 630945 701050 757134 811215 901350 1051575 1135701 1261890 1352025 1622430 1892835 2103150 2271402 2704050 3154725 3785670 4056075 5678505 6309450 8112150 9464175 11357010 18928350 28392525 56785050