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56219904 = 2832131877
BaseRepresentation
bin1101011001110…
…1100100000000
310220210021012200
43112131210000
5103343014104
65324553200
71251601266
oct326354400
9126707180
1056219904
1129809934
12169b2800
13b855520
147676436
154e07b39
hex359d900

56219904 has 108 divisors (see below), whose sum is σ = 174657756. Its totient is φ = 17289216.

The previous prime is 56219903. The next prime is 56219921. The reversal of 56219904 is 40991265.

56219904 is a `hidden beast` number, since 562 + 1 + 9 + 90 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20793600 + 35426304 = 4560^2 + 5952^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (56219903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29014 + ... + 30890.

Almost surely, 256219904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56219904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87328878).

56219904 is an abundant number, since it is smaller than the sum of its proper divisors (118437852).

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

56219904 is a wasteful number, since it uses less digits than its factorization.

56219904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 56219904 is about 7497.9933315521. The cubic root of 56219904 is about 383.0863696395.

The spelling of 56219904 in words is "fifty-six million, two hundred nineteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 1877 2304 2496 3328 3744 3754 4992 5631 7488 7508 9984 11262 14976 15016 16893 22524 24401 29952 30032 33786 45048 48802 60064 67572 73203 90096 97604 120128 135144 146406 180192 195208 219609 240256 270288 292812 360384 390416 439218 480512 540576 585624 720768 780832 878436 1081152 1171248 1441536 1561664 1756872 2162304 2342496 3123328 3513744 4324608 4684992 6246656 7027488 9369984 14054976 18739968 28109952 56219904