Search a number
-
+
56126112 = 2537174
BaseRepresentation
bin1101011000011…
…0101010100000
310220121111112220
43112012222200
5103332013422
65322551040
71251030660
oct326065240
9126544486
1056126112
1129755419
1216968480
13b821923
1476501a0
154dd9e5c
hex3586aa0

56126112 has 120 divisors (see below), whose sum is σ = 178901856. Its totient is φ = 15092736.

The previous prime is 56126111. The next prime is 56126143. The reversal of 56126112 is 21162165.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (56126111) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 3301528 + ... + 3301544.

Almost surely, 256126112 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 56126112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89450928).

56126112 is an abundant number, since it is smaller than the sum of its proper divisors (122775744).

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

56126112 is an frugal number, since it uses more digits than its factorization.

56126112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 29 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 56126112 is about 7491.7362473595. The cubic root of 56126112 is about 382.8732159712.

Adding to 56126112 its reverse (21162165), we get a palindrome (77288277).

The spelling of 56126112 in words is "fifty-six million, one hundred twenty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 289 336 357 408 476 544 578 672 714 816 867 952 1156 1428 1632 1734 1904 2023 2312 2856 3468 3808 4046 4624 4913 5712 6069 6936 8092 9248 9826 11424 12138 13872 14739 16184 19652 24276 27744 29478 32368 34391 39304 48552 58956 64736 68782 78608 83521 97104 103173 117912 137564 157216 167042 194208 206346 235824 250563 275128 334084 412692 471648 501126 550256 584647 668168 825384 1002252 1100512 1169294 1336336 1650768 1753941 2004504 2338588 2672672 3301536 3507882 4009008 4677176 7015764 8018016 9354352 14031528 18708704 28063056 56126112