Search a number
-
+
56616126 = 23783109149
BaseRepresentation
bin1101011111111…
…0010010111110
310221112101201120
43113332102332
5103443204001
65341251410
71255141410
oct327762276
9127471646
1056616126
1129a5a596
1216b63b66
13b963988
14773a9b0
154e85236
hex35fe4be

56616126 has 64 divisors (see below), whose sum is σ = 133056000. Its totient is φ = 15728256.

The previous prime is 56616101. The next prime is 56616127. The reversal of 56616126 is 62161665.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56616127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379900 + ... + 380048.

It is an arithmetic number, because the mean of its divisors is an integer number (2079000).

Almost surely, 256616126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56616126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66528000).

56616126 is an abundant number, since it is smaller than the sum of its proper divisors (76439874).

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

56616126 is a wasteful number, since it uses less digits than its factorization.

56616126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353.

The product of its digits is 12960, while the sum is 33.

The square root of 56616126 is about 7524.3688107375. The cubic root of 56616126 is about 383.9842251549.

The spelling of 56616126 in words is "fifty-six million, six hundred sixteen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 83 109 149 166 218 249 298 327 447 498 581 654 763 894 1043 1162 1526 1743 2086 2289 3129 3486 4578 6258 9047 12367 16241 18094 24734 27141 32482 37101 48723 54282 63329 74202 86569 97446 113687 126658 173138 189987 227374 259707 341061 379974 519414 682122 1348003 2696006 4044009 8088018 9436021 18872042 28308063 56616126