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4074642 = 23211131583
BaseRepresentation
bin1111100010110010010010
321200000100200
433202302102
52020342032
6223200030
746430265
oct17426222
97600320
104074642
112333380
121446016
13ac8840
14780cdc
1555747c
hex3e2c92

4074642 has 48 divisors (see below), whose sum is σ = 10378368. Its totient is φ = 1139040.

The previous prime is 4074613. The next prime is 4074647. The reversal of 4074642 is 2464704.

4074642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4074647) 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 23 ways as a sum of consecutive naturals, for example, 1783 + ... + 3365.

It is an arithmetic number, because the mean of its divisors is an integer number (216216).

Almost surely, 24074642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4074642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5189184).

4074642 is an abundant number, since it is smaller than the sum of its proper divisors (6303726).

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

4074642 is a wasteful number, since it uses less digits than its factorization.

4074642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4074642 is about 2018.5742493156. The cubic root of 4074642 is about 159.7214162676.

The spelling of 4074642 in words is "four million, seventy-four thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 1583 2574 3166 4749 9498 14247 17413 20579 28494 34826 41158 52239 61737 104478 123474 156717 185211 226369 313434 370422 452738 679107 1358214 2037321 4074642