Search a number
-
+
55832652 = 223641467
BaseRepresentation
bin1101010011111…
…1000001001100
310220001121000000
43110333001030
5103243121102
65312404300
71245366261
oct324770114
9126047000
1055832652
1129574997
1216846690
13b74b195
1475b5268
154d7d01c
hex353f04c

55832652 has 84 divisors (see below), whose sum is σ = 150388056. Its totient is φ = 18118080.

The previous prime is 55832633. The next prime is 55832657. The reversal of 55832652 is 25623855.

It is a happy number.

55832652 is a `hidden beast` number, since 5 + 583 + 26 + 52 = 666.

55832652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55832657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 119323 + ... + 119789.

It is an arithmetic number, because the mean of its divisors is an integer number (1790334).

Almost surely, 255832652 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 55832652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75194028).

55832652 is an abundant number, since it is smaller than the sum of its proper divisors (94555404).

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

55832652 is a wasteful number, since it uses less digits than its factorization.

55832652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 513 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 55832652 is about 7472.1249989544. The cubic root of 55832652 is about 382.2047548630.

The spelling of 55832652 in words is "fifty-five million, eight hundred thirty-two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 243 246 324 369 467 486 492 729 738 934 972 1107 1401 1458 1476 1868 2214 2802 2916 3321 4203 4428 5604 6642 8406 9963 12609 13284 16812 19147 19926 25218 29889 37827 38294 39852 50436 57441 59778 75654 76588 113481 114882 119556 151308 172323 226962 229764 340443 344646 453924 516969 680886 689292 1033938 1361772 1550907 2067876 3101814 4652721 6203628 9305442 13958163 18610884 27916326 55832652