Search a number
-
+
413678649 = 32921131451
BaseRepresentation
bin11000101010000…
…011110000111001
31001211102001102110
4120222003300321
51321400204044
6105014322533
713152132126
oct3052036071
91054361373
10413678649
111a256898a
12b6659449
1367920687
143cd2574d
15264b66b9
hex18a83c39

413678649 has 24 divisors (see below), whose sum is σ = 576699552. Its totient is φ = 263737600.

The previous prime is 413678627. The next prime is 413678701. The reversal of 413678649 is 946876314.

It is not a de Polignac number, because 413678649 - 27 = 413678521 is a prime.

It is a super-2 number, since 2×4136786492 = 342260049276930402, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413678598 and 413678607.

It is not an unprimeable number, because it can be changed into a prime (413678249) 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 23 ways as a sum of consecutive naturals, for example, 284374 + ... + 285824.

It is an arithmetic number, because the mean of its divisors is an integer number (24029148).

Almost surely, 2413678649 is an apocalyptic number.

It is an amenable number.

413678649 is a deficient number, since it is larger than the sum of its proper divisors (163020903).

413678649 is a wasteful number, since it uses less digits than its factorization.

413678649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1596 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 413678649 is about 20339.0916463838. The cubic root of 413678649 is about 745.1111039500. Note that the first 4 decimals are identical.

The spelling of 413678649 in words is "four hundred thirteen million, six hundred seventy-eight thousand, six hundred forty-nine".

Divisors: 1 3 29 87 113 339 841 1451 2523 3277 4353 9831 42079 95033 126237 163963 285099 491889 1220291 3660873 4754927 14264781 137892883 413678649