Search a number
-
+
56841426 = 2341959313
BaseRepresentation
bin1101100011010…
…1010011010010
310221221211210000
43120311103102
5104022411201
65350150430
71260100305
oct330652322
9127854700
1056841426
112a0a3894
1217052416
13ba123a5
147798b3c
154ecbd86
hex36354d2

56841426 has 80 divisors (see below), whose sum is σ = 136778400. Its totient is φ = 17589312.

The previous prime is 56841397. The next prime is 56841427. The reversal of 56841426 is 62414865.

56841426 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (56841427) 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 39 ways as a sum of consecutive naturals, for example, 181446 + ... + 181758.

It is an arithmetic number, because the mean of its divisors is an integer number (1709730).

Almost surely, 256841426 is an apocalyptic number.

56841426 is the 6156-th pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56841426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68389200).

56841426 is an abundant number, since it is smaller than the sum of its proper divisors (79936974).

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

56841426 is a wasteful number, since it uses less digits than its factorization.

56841426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 396 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 56841426 is about 7539.3253013781. The cubic root of 56841426 is about 384.4928973262.

The spelling of 56841426 in words is "fifty-six million, eight hundred forty-one thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 59 81 114 118 162 171 177 313 342 354 513 531 626 939 1026 1062 1121 1539 1593 1878 2242 2817 3078 3186 3363 4779 5634 5947 6726 8451 9558 10089 11894 16902 17841 18467 20178 25353 30267 35682 36934 50706 53523 55401 60534 90801 107046 110802 160569 166203 181602 321138 332406 350873 481707 498609 701746 963414 997218 1052619 1495827 2105238 2991654 3157857 6315714 9473571 18947142 28420713 56841426