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4042404 = 2232112289
BaseRepresentation
bin1111011010111010100100
321121101010200
433122322210
52013324104
6222350500
746234302
oct17327244
97541120
104042404
112311133
12142b430
13ab6c72
14773272
1554cb39
hex3daea4

4042404 has 18 divisors (see below), whose sum is σ = 10218390. Its totient is φ = 1347456.

The previous prime is 4042393. The next prime is 4042417.

It is a happy number.

4042404 is nontrivially palindromic in base 10.

4042404 is digitally balanced in base 5, 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 only one way, i.e., 4040100 + 2304 = 2010^2 + 48^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56109 + ... + 56180.

Almost surely, 24042404 is an apocalyptic number.

It is an amenable number.

4042404 is an abundant number, since it is smaller than the sum of its proper divisors (6175986).

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

4042404 is a wasteful number, since it uses less digits than its factorization.

4042404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112299 (or 112294 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4042404 is about 2010.5730526395. The cubic root of 4042404 is about 159.2990692512.

The spelling of 4042404 in words is "four million, forty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 112289 224578 336867 449156 673734 1010601 1347468 2021202 4042404