Search a number
-
+
52631568 = 243211149223
BaseRepresentation
bin1100100011000…
…1100000010000
310200000221221100
43020301200100
5101433202233
65120024400
71206234543
oct310614020
9120027840
1052631568
1127788970
1215762100
13ab9a152
146dc085a
154949813
hex3231810

52631568 has 120 divisors (see below), whose sum is σ = 162489600. Its totient is φ = 15770880.

The previous prime is 52631563. The next prime is 52631569. The reversal of 52631568 is 86513625.

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

It is not an unprimeable number, because it can be changed into a prime (52631563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235905 + ... + 236127.

It is an arithmetic number, because the mean of its divisors is an integer number (1354080).

Almost surely, 252631568 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 52631568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81244800).

52631568 is an abundant number, since it is smaller than the sum of its proper divisors (109858032).

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

52631568 is a wasteful number, since it uses less digits than its factorization.

52631568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 388 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 52631568 is about 7254.7617466048. The cubic root of 52631568 is about 374.7561508012.

The spelling of 52631568 in words is "fifty-two million, six hundred thirty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 149 176 198 223 264 298 396 446 447 528 596 669 792 892 894 1192 1338 1341 1584 1639 1784 1788 2007 2384 2453 2676 2682 3278 3568 3576 4014 4906 4917 5352 5364 6556 7152 7359 8028 9812 9834 10704 10728 13112 14718 14751 16056 19624 19668 21456 22077 26224 29436 29502 32112 33227 39248 39336 44154 58872 59004 66454 78672 88308 99681 117744 118008 132908 176616 199362 236016 265816 299043 353232 365497 398724 531632 598086 730994 797448 1096491 1196172 1461988 1594896 2192982 2392344 2923976 3289473 4385964 4784688 5847952 6578946 8771928 13157892 17543856 26315784 52631568