Search a number
-
+
56387142 = 232739133
BaseRepresentation
bin1101011100011…
…0011001000110
310221002202121200
43113012121012
5103413342032
65332323330
71253166000
oct327063106
9127082550
1056387142
1129913549
1216a73546
13b8b3696
1476bb370
154e3c47c
hex35c6646

56387142 has 48 divisors (see below), whose sum is σ = 142490400. Its totient is φ = 16108848.

The previous prime is 56387141. The next prime is 56387143. The reversal of 56387142 is 24178365.

56387142 is a `hidden beast` number, since 5 + 638 + 7 + 14 + 2 = 666.

56387142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56387141) and next prime (56387143).

It is a junction number, because it is equal to n+sod(n) for n = 56387097 and 56387106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56387141) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1608 + ... + 10740.

It is an arithmetic number, because the mean of its divisors is an integer number (2968550).

Almost surely, 256387142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56387142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71245200).

56387142 is an abundant number, since it is smaller than the sum of its proper divisors (86103258).

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

56387142 is a wasteful number, since it uses less digits than its factorization.

56387142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9162 (or 9145 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 56387142 is about 7509.1372340636. The cubic root of 56387142 is about 383.4658507601.

The spelling of 56387142 in words is "fifty-six million, three hundred eighty-seven thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 686 882 1029 2058 3087 6174 9133 18266 27399 54798 63931 82197 127862 164394 191793 383586 447517 575379 895034 1150758 1342551 2685102 3132619 4027653 6265238 8055306 9397857 18795714 28193571 56387142