Search a number
-
+
56535312 = 2435371313
BaseRepresentation
bin1101011110101…
…0100100010000
310221101021212110
43113222210100
5103433112222
65335425320
71254353661
oct327524420
9127337773
1056535312
1129a048a9
1216b25240
13b935c62
147719368
154e6b30c
hex35ea910

56535312 has 80 divisors (see below), whose sum is σ = 151383168. Its totient is φ = 18170880.

The previous prime is 56535301. The next prime is 56535341. The reversal of 56535312 is 21353565.

It is a self number, because there is not a number n which added to its sum of digits gives 56535312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180468 + ... + 180780.

Almost surely, 256535312 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 56535312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75691584).

56535312 is an abundant number, since it is smaller than the sum of its proper divisors (94847856).

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

56535312 is a wasteful number, since it uses less digits than its factorization.

56535312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 442 counting only the distinct ones).

The product of its digits is 13500, while the sum is 30.

The square root of 56535312 is about 7518.9967415873. The cubic root of 56535312 is about 383.8014381423.

Adding to 56535312 its reverse (21353565), we get a palindrome (77888877).

The spelling of 56535312 in words is "fifty-six million, five hundred thirty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 71 106 142 159 212 213 284 313 318 424 426 568 626 636 848 852 939 1136 1252 1272 1704 1878 2504 2544 3408 3756 3763 5008 7512 7526 11289 15024 15052 16589 22223 22578 30104 33178 44446 45156 49767 60208 66356 66669 88892 90312 99534 132712 133338 177784 180624 199068 265424 266676 355568 398136 533352 796272 1066704 1177819 2355638 3533457 4711276 7066914 9422552 14133828 18845104 28267656 56535312