Search a number
-
+
52189524 = 223217531609
BaseRepresentation
bin1100011100010…
…1100101010100
310122012111120100
43013011211110
5101330031044
65102334100
71202414022
oct307054524
9118174510
1052189524
1127506842
121558a330
13aa73b9a
146d07712
1548ad869
hex31c5954

52189524 has 72 divisors (see below), whose sum is σ = 142407720. Its totient is φ = 16054272.

The previous prime is 52189519. The next prime is 52189547. The reversal of 52189524 is 42598125.

52189524 is a `hidden beast` number, since 52 + 1 + 89 + 524 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35640900 + 16548624 = 5970^2 + 4068^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31632 + ... + 33240.

It is an arithmetic number, because the mean of its divisors is an integer number (1977885).

Almost surely, 252189524 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 52189524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71203860).

52189524 is an abundant number, since it is smaller than the sum of its proper divisors (90218196).

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

52189524 is a wasteful number, since it uses less digits than its factorization.

52189524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1684 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 52189524 is about 7224.2317238583. The cubic root of 52189524 is about 373.7040277083.

The spelling of 52189524 in words is "fifty-two million, one hundred eighty-nine thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 53 68 102 106 153 159 204 212 306 318 477 612 636 901 954 1609 1802 1908 2703 3218 3604 4827 5406 6436 8109 9654 10812 14481 16218 19308 27353 28962 32436 54706 57924 82059 85277 109412 164118 170554 246177 255831 328236 341108 492354 511662 767493 984708 1023324 1449709 1534986 2899418 3069972 4349127 5798836 8698254 13047381 17396508 26094762 52189524