Search a number
-
+
54239652 = 22331732903
BaseRepresentation
bin1100111011101…
…0000110100100
310210001122211000
43032322012210
5102341132102
65214313300
71226013045
oct316720644
9123048730
1054239652
1128687065
12161b8830
13b31108c
1472bc8cc
154b6601c
hex33ba1a4

54239652 has 48 divisors (see below), whose sum is σ = 141482880. Its totient is φ = 17969184.

The previous prime is 54239629. The next prime is 54239659. The reversal of 54239652 is 25693245.

54239652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×542396522 = 5883879698162208, which contains 22 as substring.

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 (54239659) 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 15 ways as a sum of consecutive naturals, for example, 17233 + ... + 20135.

It is an arithmetic number, because the mean of its divisors is an integer number (2947560).

Almost surely, 254239652 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 54239652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70741440).

54239652 is an abundant number, since it is smaller than the sum of its proper divisors (87243228).

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

54239652 is a wasteful number, since it uses less digits than its factorization.

54239652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089 (or 3081 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 54239652 is about 7364.7574298140. The cubic root of 54239652 is about 378.5346427902.

The spelling of 54239652 in words is "fifty-four million, two hundred thirty-nine thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 173 346 519 692 1038 1557 2076 2903 3114 4671 5806 6228 8709 9342 11612 17418 18684 26127 34836 52254 78381 104508 156762 313524 502219 1004438 1506657 2008876 3013314 4519971 6026628 9039942 13559913 18079884 27119826 54239652