Search a number
-
+
55684132 = 22753157239
BaseRepresentation
bin1101010001101…
…0110000100100
310212210001021021
43110122300210
5103223343012
65305300524
71244210260
oct324326044
9125701237
1055684132
1129483349
1216794744
13b6c86ba
1475770a0
154d4e007
hex351ac24

55684132 has 48 divisors (see below), whose sum is σ = 114670080. Its totient is φ = 23167872.

The previous prime is 55684121. The next prime is 55684159. The reversal of 55684132 is 23148655.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232869 + ... + 233107.

It is an arithmetic number, because the mean of its divisors is an integer number (2388960).

Almost surely, 255684132 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 55684132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57335040).

55684132 is an abundant number, since it is smaller than the sum of its proper divisors (58985948).

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

55684132 is a wasteful number, since it uses less digits than its factorization.

55684132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 458 counting only the distinct ones).

The product of its digits is 28800, while the sum is 34.

The square root of 55684132 is about 7462.1801103967. The cubic root of 55684132 is about 381.8655539588.

The spelling of 55684132 in words is "fifty-five million, six hundred eighty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 53 106 157 212 239 314 371 478 628 742 956 1099 1484 1673 2198 3346 4396 6692 8321 12667 16642 25334 33284 37523 50668 58247 75046 88669 116494 150092 177338 232988 262661 354676 525322 1050644 1988719 3977438 7954876 13921033 27842066 55684132