Search a number
-
+
52806492 = 2234349467
BaseRepresentation
bin1100100101110…
…0001101011100
310200100211220000
43021130031130
5102004301432
65123454300
71210563534
oct311341534
9120324800
1052806492
1127898332
1215827390
13ac2b95b
1470284c4
15498157c
hex325c35c

52806492 has 60 divisors (see below), whose sum is σ = 138738600. Its totient is φ = 17514144.

The previous prime is 52806433. The next prime is 52806499. The reversal of 52806492 is 29460825.

It is a happy number.

52806492 is a `hidden beast` number, since 5 + 2 + 8 + 0 + 649 + 2 = 666.

52806492 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52806499) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 112843 + ... + 113309.

It is an arithmetic number, because the mean of its divisors is an integer number (2312310).

Almost surely, 252806492 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 52806492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69369300).

52806492 is an abundant number, since it is smaller than the sum of its proper divisors (85932108).

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

52806492 is a wasteful number, since it uses less digits than its factorization.

52806492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 52806492 is about 7266.8075521511. The cubic root of 52806492 is about 375.1708661342.

The spelling of 52806492 in words is "fifty-two million, eight hundred six thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 349 467 698 934 1047 1396 1401 1868 2094 2802 3141 4188 4203 5604 6282 8406 9423 12564 12609 16812 18846 25218 28269 37692 37827 50436 56538 75654 113076 151308 162983 325966 488949 651932 977898 1466847 1955796 2933694 4400541 5867388 8801082 13201623 17602164 26403246 52806492