Search a number
-
+
56384262 = 2351153199
BaseRepresentation
bin1101011100010…
…1101100000110
310221002121200000
43113011230012
5103413244022
65332302130
71253154414
oct327055406
9127077600
1056384262
1129911370
1216a71946
13b8b228c
1476ba2b4
154e3b6ac
hex35c5b06

56384262 has 96 divisors (see below), whose sum is σ = 141523200. Its totient is φ = 16679520.

The previous prime is 56384261. The next prime is 56384281. The reversal of 56384262 is 26248365.

56384262 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56384261) 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 47 ways as a sum of consecutive naturals, for example, 283239 + ... + 283437.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 256384262 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56384262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761600).

56384262 is an abundant number, since it is smaller than the sum of its proper divisors (85138938).

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

56384262 is a wasteful number, since it uses less digits than its factorization.

56384262 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 268 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 56384262 is about 7508.9454652434. The cubic root of 56384262 is about 383.4593220823.

The spelling of 56384262 in words is "fifty-six million, three hundred eighty-four thousand, two hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 53 54 66 81 99 106 159 162 198 199 243 297 318 398 477 486 583 594 597 891 954 1166 1194 1431 1749 1782 1791 2189 2673 2862 3498 3582 4293 4378 5247 5346 5373 6567 8586 10494 10547 10746 12879 13134 15741 16119 19701 21094 25758 31482 31641 32238 39402 47223 48357 59103 63282 94446 94923 96714 116017 118206 141669 177309 189846 232034 283338 284769 348051 354618 531927 569538 696102 854307 1044153 1063854 1708614 2088306 2562921 3132459 5125842 6264918 9397377 18794754 28192131 56384262