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413826975 = 3452204359
BaseRepresentation
bin11000101010100…
…111111110011111
31001211200120220000
4120222213332133
51321414430400
6105021425343
713153320432
oct3052477637
91054616800
10413826975
111a265a371
12b670b253
1367973043
143cd63819
15264e5600
hex18aa7f9f

413826975 has 30 divisors (see below), whose sum is σ = 766554360. Its totient is φ = 220706640.

The previous prime is 413826943. The next prime is 413826991. The reversal of 413826975 is 579628314.

413826975 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 413826975 - 25 = 413826943 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 413826975.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 100155 + ... + 104204.

It is an arithmetic number, because the mean of its divisors is an integer number (25551812).

Almost surely, 2413826975 is an apocalyptic number.

413826975 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

413826975 is a deficient number, since it is larger than the sum of its proper divisors (352727385).

413826975 is a wasteful number, since it uses less digits than its factorization.

413826975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204381 (or 204367 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 413826975 is about 20342.7376476226. The cubic root of 413826975 is about 745.2001474169.

It can be divided in two parts, 4138 and 26975, that added together give a palindrome (31113).

The spelling of 413826975 in words is "four hundred thirteen million, eight hundred twenty-six thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 204359 613077 1021795 1839231 3065385 5108975 5517693 9196155 15326925 16553079 27588465 45980775 82765395 137942325 413826975