[go: up one dir, main page]

Search a number
-
+
56652414 = 237131943127
BaseRepresentation
bin1101100000011…
…1001001111110
310221121020111120
43120013021332
5104000334124
65342131410
71255352250
oct330071176
9127536446
1056652414
1129a84885
1216b80b66
13b977350
147749cd0
154e90d79
hex360727e

56652414 has 128 divisors (see below), whose sum is σ = 151388160. Its totient is φ = 13716864.

The previous prime is 56652413. The next prime is 56652451. The reversal of 56652414 is 41425665.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56652413) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 446019 + ... + 446145.

It is an arithmetic number, because the mean of its divisors is an integer number (1182720).

Almost surely, 256652414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56652414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75694080).

56652414 is an abundant number, since it is smaller than the sum of its proper divisors (94735746).

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

56652414 is a wasteful number, since it uses less digits than its factorization.

56652414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214.

The product of its digits is 28800, while the sum is 33.

The square root of 56652414 is about 7526.7797895249. The cubic root of 56652414 is about 384.0662456240.

The spelling of 56652414 in words is "fifty-six million, six hundred fifty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 43 57 78 86 91 114 127 129 133 182 247 254 258 266 273 301 381 399 494 546 559 602 741 762 798 817 889 903 1118 1482 1634 1651 1677 1729 1778 1806 2413 2451 2667 3302 3354 3458 3913 4826 4902 4953 5187 5334 5461 5719 7239 7826 9906 10374 10621 10922 11438 11557 11739 14478 16383 16891 17157 21242 23114 23478 31369 31863 32766 33782 34314 34671 38227 50673 62738 63726 69342 70993 74347 76454 94107 101346 103759 114681 141986 148694 188214 207518 212979 219583 223041 229362 311277 425958 439166 446082 496951 622554 658749 726313 993902 1317498 1348867 1452626 1490853 2178939 2697734 2981706 4046601 4357878 8093202 9442069 18884138 28326207 56652414