Search a number
-
+
55713834 = 23211416863
BaseRepresentation
bin1101010010001…
…0000000101010
310212211120000100
43110202000222
5103230320314
65310050230
71244363001
oct324420052
9125746010
1055713834
11294a36a0
12167a9976
13b709087
147583c38
154d57c09
hex352202a

55713834 has 48 divisors (see below), whose sum is σ = 134918784. Its totient is φ = 16468800.

The previous prime is 55713821. The next prime is 55713839. The reversal of 55713834 is 43831755.

55713834 is a `hidden beast` number, since 5 + 571 + 3 + 83 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55713839) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4687 + ... + 11549.

It is an arithmetic number, because the mean of its divisors is an integer number (2810808).

Almost surely, 255713834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55713834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67459392).

55713834 is an abundant number, since it is smaller than the sum of its proper divisors (79204950).

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

55713834 is a wasteful number, since it uses less digits than its factorization.

55713834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6923 (or 6920 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 55713834 is about 7464.1700141409. The cubic root of 55713834 is about 381.9334377779.

The spelling of 55713834 in words is "fifty-five million, seven hundred thirteen thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 451 738 902 1353 2706 4059 6863 8118 13726 20589 41178 61767 75493 123534 150986 226479 281383 452958 562766 679437 844149 1358874 1688298 2532447 3095213 5064894 6190426 9285639 18571278 27856917 55713834