Search a number
-
+
56436224 = 291361139
BaseRepresentation
bin1101011101001…
…0011000000000
310221012020221112
43113102120000
5103421424344
65333342452
71253462045
oct327223000
9127166845
1056436224
1129947409
1216a97a28
13b8ccb20
1476d11cc
154e4bc9e
hex35d2600

56436224 has 80 divisors (see below), whose sum is σ = 124314960. Its totient is φ = 25436160.

The previous prime is 56436223. The next prime is 56436229. The reversal of 56436224 is 42263465.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56436223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 405947 + ... + 406085.

It is an arithmetic number, because the mean of its divisors is an integer number (1553937).

Almost surely, 256436224 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 56436224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62157480).

56436224 is an abundant number, since it is smaller than the sum of its proper divisors (67878736).

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

56436224 is a wasteful number, since it uses less digits than its factorization.

56436224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 215 counting only the distinct ones).

The product of its digits is 34560, while the sum is 32.

The square root of 56436224 is about 7512.4046749360. The cubic root of 56436224 is about 383.5770806841.

Adding to 56436224 its reverse (42263465), we get a palindrome (98699689).

The spelling of 56436224 in words is "fifty-six million, four hundred thirty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 61 64 104 122 128 139 208 244 256 278 416 488 512 556 793 832 976 1112 1586 1664 1807 1952 2224 3172 3328 3614 3904 4448 6344 6656 7228 7808 8479 8896 12688 14456 15616 16958 17792 25376 28912 31232 33916 35584 50752 57824 67832 71168 101504 110227 115648 135664 203008 220454 231296 271328 406016 440908 462592 542656 881816 925184 1085312 1763632 2170624 3527264 4341248 7054528 14109056 28218112 56436224