Search a number
4122636 = 2237172887
BaseRepresentation
bin1111101110100000001100
321202110012020
433232200030
52023411021
6224210140
750020230
oct17564014
97673166
104122636
112366441
121469950
13b1463b
147945c0
155667c6
hex3ee80c

4122636 has 48 divisors (see below), whose sum is σ = 11644416. Its totient is φ = 1108224.

The previous prime is 4122631. The next prime is 4122641. The reversal of 4122636 is 6362214.

4122636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4122631) and next prime (4122641).

It is a super-2 number, since 2×41226362 = 33992255176992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4122631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16 + ... + 2871.

It is an arithmetic number, because the mean of its divisors is an integer number (242592).

Almost surely, 24122636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4122636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5822208).

4122636 is an abundant number, since it is smaller than the sum of its proper divisors (7521780).

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

4122636 is a wasteful number, since it uses less digits than its factorization.

4122636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918 (or 2916 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 4122636 is about 2030.4275411844. The cubic root of 4122636 is about 160.3460738326.

The spelling of 4122636 in words is "four million, one hundred twenty-two thousand, six hundred thirty-six".