Search a number
-
+
52040672 = 2517271353
BaseRepresentation
bin1100011010000…
…1001111100000
310121220221101022
43012201033200
5101310300142
65055225012
71201224035
oct306411740
9117827338
1052040672
1127414a22
1215518168
13aa211c8
146ca938c
15487e6d2
hex31a13e0

52040672 has 48 divisors (see below), whose sum is σ = 109190592. Its totient is φ = 24330240.

The previous prime is 52040671. The next prime is 52040687. The reversal of 52040672 is 27604025.

It is a super-3 number, since 3×520406723 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52040671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147248 + ... + 147600.

It is an arithmetic number, because the mean of its divisors is an integer number (2274804).

Almost surely, 252040672 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 52040672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54595296).

52040672 is an abundant number, since it is smaller than the sum of its proper divisors (57149920).

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

52040672 is a wasteful number, since it uses less digits than its factorization.

52040672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 52040672 is about 7213.9220955039. The cubic root of 52040672 is about 373.3484035867.

Adding to 52040672 its reverse (27604025), we get a palindrome (79644697).

The spelling of 52040672 in words is "fifty-two million, forty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 271 272 353 542 544 706 1084 1412 2168 2824 4336 4607 5648 6001 8672 9214 11296 12002 18428 24004 36856 48008 73712 95663 96016 147424 191326 192032 382652 765304 1530608 1626271 3061216 3252542 6505084 13010168 26020336 52040672