Search a number
-
+
55730964 = 223172571063
BaseRepresentation
bin1101010010011…
…0001100010100
310212212102111210
43110212030110
5103231342324
65310301420
71244463642
oct324461424
9125772453
1055730964
1129505553
12167b7870
13b713b03
14758a192
154d5cd29
hex3526314

55730964 has 48 divisors (see below), whose sum is σ = 138354048. Its totient is φ = 17399808.

The previous prime is 55730957. The next prime is 55730989. The reversal of 55730964 is 46903755.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 51897 + ... + 52959.

It is an arithmetic number, because the mean of its divisors is an integer number (2882376).

Almost surely, 255730964 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 55730964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69177024).

55730964 is an abundant number, since it is smaller than the sum of its proper divisors (82623084).

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

55730964 is a wasteful number, since it uses less digits than its factorization.

55730964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 55730964 is about 7465.3174078535. The cubic root of 55730964 is about 381.9725773650.

The spelling of 55730964 in words is "fifty-five million, seven hundred thirty thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 257 514 771 1028 1063 1542 2126 3084 3189 4252 4369 6378 8738 12756 13107 17476 18071 26214 36142 52428 54213 72284 108426 216852 273191 546382 819573 1092764 1639146 3278292 4644247 9288494 13932741 18576988 27865482 55730964