Search a number
-
+
55564236 = 223272132423
BaseRepresentation
bin1101001111110…
…1011111001100
310212112221210200
43103331133030
5103211023421
65302533500
71243200600
oct323753714
9125487720
1055564236
1129401262
1216737290
13b685c60
147545500
154d28726
hex34fd7cc

55564236 has 108 divisors (see below), whose sum is σ = 176026032. Its totient is φ = 14648256.

The previous prime is 55564231. The next prime is 55564283. The reversal of 55564236 is 63246555.

It is a happy number.

55564236 is a `hidden beast` number, since 5 + 5 + 5 + 642 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 55564236.

It is not an unprimeable number, because it can be changed into a prime (55564231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21721 + ... + 24143.

Almost surely, 255564236 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 55564236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88013016).

55564236 is an abundant number, since it is smaller than the sum of its proper divisors (120461796).

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

55564236 is a wasteful number, since it uses less digits than its factorization.

55564236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 2448 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 55564236 is about 7454.1422041708. The cubic root of 55564236 is about 381.5912864063.

55564236 divided by its sum of digits (36) gives a palindrome (1543451).

The spelling of 55564236 in words is "fifty-five million, five hundred sixty-four thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1092 1274 1638 1764 1911 2423 2548 3276 3822 4846 5733 7269 7644 9692 11466 14538 16961 21807 22932 29076 31499 33922 43614 50883 62998 67844 87228 94497 101766 118727 125996 152649 188994 203532 220493 237454 283491 305298 356181 377988 440986 474908 566982 610596 661479 712362 881972 1068543 1133964 1322958 1424724 1543451 1984437 2137086 2645916 3086902 3968874 4274172 4630353 6173804 7937748 9260706 13891059 18521412 27782118 55564236