Search a number
-
+
56222944 = 2517181571
BaseRepresentation
bin1101011001111…
…0010011100000
310220210102101021
43112132103200
5103343113234
65325015224
71251613201
oct326362340
9126712337
1056222944
1129811148
12169b4514
13b856a1b
1476775a8
154e089b4
hex359e4e0

56222944 has 48 divisors (see below), whose sum is σ = 118053936. Its totient is φ = 26265600.

The previous prime is 56222911. The next prime is 56222953. The reversal of 56222944 is 44922265.

56222944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×562229442 = 6322038864054272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 98179 + ... + 98749.

It is an arithmetic number, because the mean of its divisors is an integer number (2459457).

Almost surely, 256222944 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 56222944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59026968).

56222944 is an abundant number, since it is smaller than the sum of its proper divisors (61830992).

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

56222944 is a wasteful number, since it uses less digits than its factorization.

56222944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 771 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 56222944 is about 7498.1960497176. The cubic root of 56222944 is about 383.0932744395.

The spelling of 56222944 in words is "fifty-six million, two hundred twenty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 181 272 362 544 571 724 1142 1448 2284 2896 3077 4568 5792 6154 9136 9707 12308 18272 19414 24616 38828 49232 77656 98464 103351 155312 206702 310624 413404 826808 1653616 1756967 3307232 3513934 7027868 14055736 28111472 56222944