Search a number
-
+
413629976 = 23234154829
BaseRepresentation
bin11000101001110…
…111111000011000
31001211022120122202
4120221313320120
51321342124401
6105013305332
713151540204
oct3051677030
91054276582
10413629976
111a2535361
12b6635248
1367904486
143cd11b04
15264a706b
hex18a77e18

413629976 has 32 divisors (see below), whose sum is σ = 829029600. Its totient is φ = 192994560.

The previous prime is 413629969. The next prime is 413630023. The reversal of 413629976 is 679926314.

It is a happy number.

It is a super-3 number, since 3×4136299763 (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 413629976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19871 + ... + 34958.

It is an arithmetic number, because the mean of its divisors is an integer number (25907175).

Almost surely, 2413629976 is an apocalyptic number.

413629976 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

413629976 is an abundant number, since it is smaller than the sum of its proper divisors (415399624).

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

413629976 is a wasteful number, since it uses less digits than its factorization.

413629976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54899 (or 54895 counting only the distinct ones).

The product of its digits is 489888, while the sum is 47.

The square root of 413629976 is about 20337.8950729912. The cubic root of 413629976 is about 745.0818798044.

The spelling of 413629976 in words is "four hundred thirteen million, six hundred twenty-nine thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 23 41 46 82 92 164 184 328 943 1886 3772 7544 54829 109658 219316 438632 1261067 2247989 2522134 4495978 5044268 8991956 10088536 17983912 51703747 103407494 206814988 413629976