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52468332 = 22372232801
BaseRepresentation
bin1100100000100…
…1101001101100
310122201200000120
43020021221230
5101412441312
65112324540
71204654620
oct310115154
9118650016
1052468332
1127687264
12156a3750
13ab40a67
146d7b180
15491628c
hex3209a6c

52468332 has 48 divisors (see below), whose sum is σ = 140593152. Its totient is φ = 14918400.

The previous prime is 52468327. The next prime is 52468363. The reversal of 52468332 is 23386425.

It is a happy number.

It is a super-3 number, since 3×524683323 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52468293 and 52468302.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17332 + ... + 20132.

It is an arithmetic number, because the mean of its divisors is an integer number (2929024).

Almost surely, 252468332 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 52468332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70296576).

52468332 is an abundant number, since it is smaller than the sum of its proper divisors (88124820).

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

52468332 is a wasteful number, since it uses less digits than its factorization.

52468332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038 (or 3036 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 52468332 is about 7243.5027438388. The cubic root of 52468332 is about 374.3683160875.

The spelling of 52468332 in words is "fifty-two million, four hundred sixty-eight thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 223 446 669 892 1338 1561 2676 2801 3122 4683 5602 6244 8403 9366 11204 16806 18732 19607 33612 39214 58821 78428 117642 235284 624623 1249246 1873869 2498492 3747738 4372361 7495476 8744722 13117083 17489444 26234166 52468332