Search a number
-
+
52132520 = 235111091087
BaseRepresentation
bin1100011011011…
…1101010101000
310122002121101002
43012313222220
5101321220040
65101214132
71202055566
oct306675250
9118077332
1052132520
1127477a30
1215561348
13aa53c5b
146cd0a36
15489ba15
hex31b7aa8

52132520 has 64 divisors (see below), whose sum is σ = 129254400. Its totient is φ = 18766080.

The previous prime is 52132501. The next prime is 52132529. The reversal of 52132520 is 2523125.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 52132492 and 52132501.

It is not an unprimeable number, because it can be changed into a prime (52132529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47417 + ... + 48503.

It is an arithmetic number, because the mean of its divisors is an integer number (2019600).

Almost surely, 252132520 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 52132520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64627200).

52132520 is an abundant number, since it is smaller than the sum of its proper divisors (77121880).

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

52132520 is a wasteful number, since it uses less digits than its factorization.

52132520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 52132520 is about 7220.2853129222. The cubic root of 52132520 is about 373.5679187513.

Adding to 52132520 its reverse (2523125), we get a palindrome (54655645).

The spelling of 52132520 in words is "fifty-two million, one hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 109 110 218 220 436 440 545 872 1087 1090 1199 2174 2180 2398 4348 4360 4796 5435 5995 8696 9592 10870 11957 11990 21740 23914 23980 43480 47828 47960 59785 95656 118483 119570 236966 239140 473932 478280 592415 947864 1184830 1303313 2369660 2606626 4739320 5213252 6516565 10426504 13033130 26066260 52132520