Search a number
-
+
54015429 = 31329163293
BaseRepresentation
bin1100111000001…
…1010111000101
310202122021020110
43032003113011
5102311443204
65205423233
71224060246
oct316032705
9122567213
1054015429
1128543656
121610ab19
13b262cc0
147260ccd
154b1e889
hex33835c5

54015429 has 32 divisors (see below), whose sum is σ = 81002880. Its totient is φ = 31788288.

The previous prime is 54015421. The next prime is 54015457. The reversal of 54015429 is 92451045.

54015429 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54015429 - 23 = 54015421 is a prime.

It is a super-3 number, since 3×540154293 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54015396 and 54015405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54015421) 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 31 ways as a sum of consecutive naturals, for example, 184207 + ... + 184499.

It is an arithmetic number, because the mean of its divisors is an integer number (2531340).

Almost surely, 254015429 is an apocalyptic number.

It is an amenable number.

54015429 is a deficient number, since it is larger than the sum of its proper divisors (26987451).

54015429 is a wasteful number, since it uses less digits than its factorization.

54015429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501.

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 54015429 is about 7349.5189638506. The cubic root of 54015429 is about 378.0123102847.

The spelling of 54015429 in words is "fifty-four million, fifteen thousand, four hundred twenty-nine".

Divisors: 1 3 13 29 39 87 163 293 377 489 879 1131 2119 3809 4727 6357 8497 11427 14181 25491 47759 61451 110461 143277 184353 331383 620867 1385011 1862601 4155033 18005143 54015429