Search a number
-
+
5082426 = 234137229
BaseRepresentation
bin10011011000110100111010
3100120012210000
4103120310322
52300114201
6300533430
761125366
oct23306472
910505700
105082426
112961558
121851276
13108c46b
149642a6
156a5d86
hex4d8d3a

5082426 has 40 divisors (see below), whose sum is σ = 11521620. Its totient is φ = 1674432.

The previous prime is 5082409. The next prime is 5082433. The reversal of 5082426 is 6242805.

5082426 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4626801 + 455625 = 2151^2 + 675^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 5082426.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22080 + ... + 22308.

Almost surely, 25082426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5082426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5760810).

5082426 is an abundant number, since it is smaller than the sum of its proper divisors (6439194).

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

5082426 is a wasteful number, since it uses less digits than its factorization.

5082426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5082426 is about 2254.4236514018. The cubic root of 5082426 is about 171.9321212235.

The spelling of 5082426 in words is "five million, eighty-two thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 137 162 229 274 411 458 687 822 1233 1374 2061 2466 3699 4122 6183 7398 11097 12366 18549 22194 31373 37098 62746 94119 188238 282357 564714 847071 1694142 2541213 5082426