Search a number
-
+
52031952 = 24327411259
BaseRepresentation
bin1100011001111…
…1000111010000
310121220111102100
43012133013100
5101310010302
65055120400
71201156440
oct306370720
9117814370
1052031952
1127409415
1215513100
13aa1a24b
146ca6120
15487bd1c
hex319f1d0

52031952 has 120 divisors (see below), whose sum is σ = 170614080. Its totient is φ = 14492160.

The previous prime is 52031939. The next prime is 52031977. The reversal of 52031952 is 25913025.

52031952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40699 + ... + 41957.

It is an arithmetic number, because the mean of its divisors is an integer number (1421784).

Almost surely, 252031952 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 52031952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85307040).

52031952 is an abundant number, since it is smaller than the sum of its proper divisors (118582128).

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

52031952 is a wasteful number, since it uses less digits than its factorization.

52031952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 52031952 is about 7213.3176832855. The cubic root of 52031952 is about 373.3275495136.

Adding to 52031952 its reverse (25913025), we get a palindrome (77944977).

The spelling of 52031952 in words is "fifty-two million, thirty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 41 42 48 56 63 72 82 84 112 123 126 144 164 168 246 252 287 328 336 369 492 504 574 656 738 861 984 1008 1148 1259 1476 1722 1968 2296 2518 2583 2952 3444 3777 4592 5036 5166 5904 6888 7554 8813 10072 10332 11331 13776 15108 17626 20144 20664 22662 26439 30216 35252 41328 45324 51619 52878 60432 70504 79317 90648 103238 105756 141008 154857 158634 181296 206476 211512 309714 317268 361333 412952 423024 464571 619428 634536 722666 825904 929142 1083999 1238856 1269072 1445332 1858284 2167998 2477712 2890664 3251997 3716568 4335996 5781328 6503994 7433136 8671992 13007988 17343984 26015976 52031952