Search a number
-
+
52332360 = 23352367283
BaseRepresentation
bin1100011110100…
…0011101001000
310122110202111120
43013220131020
5101344113420
65105355240
71203550323
oct307503510
9118422446
1052332360
11275a4093
1215638b20
13aac3bc2
146d437ba
1548dad40
hex31e8748

52332360 has 128 divisors (see below), whose sum is σ = 166855680. Its totient is φ = 13102848.

The previous prime is 52332347. The next prime is 52332361. The reversal of 52332360 is 6323325.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 52332360.

It is not an unprimeable number, because it can be changed into a prime (52332361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184779 + ... + 185061.

It is an arithmetic number, because the mean of its divisors is an integer number (1303560).

Almost surely, 252332360 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 52332360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83427840).

52332360 is an abundant number, since it is smaller than the sum of its proper divisors (114523320).

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

52332360 is a wasteful number, since it uses less digits than its factorization.

52332360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 52332360 is about 7234.1108645085. The cubic root of 52332360 is about 374.0446437409.

Adding to 52332360 its reverse (6323325), we get a palindrome (58655685).

The spelling of 52332360 in words is "fifty-two million, three hundred thirty-two thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 67 69 92 115 120 134 138 184 201 230 268 276 283 335 345 402 460 536 552 566 670 690 804 849 920 1005 1132 1340 1380 1415 1541 1608 1698 2010 2264 2680 2760 2830 3082 3396 4020 4245 4623 5660 6164 6509 6792 7705 8040 8490 9246 11320 12328 13018 15410 16980 18492 18961 19527 23115 26036 30820 32545 33960 36984 37922 39054 46230 52072 56883 61640 65090 75844 78108 92460 94805 97635 113766 130180 151688 156216 184920 189610 195270 227532 260360 284415 379220 390540 436103 455064 568830 758440 781080 872206 1137660 1308309 1744412 2180515 2275320 2616618 3488824 4361030 5233236 6541545 8722060 10466472 13083090 17444120 26166180 52332360