Search a number
-
+
55634544 = 2432797569
BaseRepresentation
bin1101010000111…
…0101001110000
310212200112020200
43110032221300
5103220301134
65304235200
71243612560
oct324165160
9125615220
1055634544
112944a069
121676bb00
13b6abc64
147562da0
154d3e499
hex350ea70

55634544 has 120 divisors (see below), whose sum is σ = 180092640. Its totient is φ = 15704064.

The previous prime is 55634531. The next prime is 55634549. The reversal of 55634544 is 44543655.

55634544 is a `hidden beast` number, since 55 + 63 + 4 + 544 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 55634499 and 55634508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55634549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97492 + ... + 98060.

It is an arithmetic number, because the mean of its divisors is an integer number (1500772).

Almost surely, 255634544 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 55634544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90046320).

55634544 is an abundant number, since it is smaller than the sum of its proper divisors (124458096).

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

55634544 is a wasteful number, since it uses less digits than its factorization.

55634544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 678 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 55634544 is about 7458.8567488590. The cubic root of 55634544 is about 381.7521669419.

The spelling of 55634544 in words is "fifty-five million, six hundred thirty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 97 112 126 144 168 194 252 291 336 388 504 569 582 679 776 873 1008 1138 1164 1358 1552 1707 1746 2037 2276 2328 2716 3414 3492 3983 4074 4552 4656 5121 5432 6111 6828 6984 7966 8148 9104 10242 10864 11949 12222 13656 13968 15932 16296 20484 23898 24444 27312 31864 32592 35847 40968 47796 48888 55193 63728 71694 81936 95592 97776 110386 143388 165579 191184 220772 286776 331158 386351 441544 496737 573552 662316 772702 883088 993474 1159053 1324632 1545404 1986948 2318106 2649264 3090808 3477159 3973896 4636212 6181616 6954318 7947792 9272424 13908636 18544848 27817272 55634544