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4000842 = 232222269
BaseRepresentation
bin1111010000110001001010
321112021010100
433100301022
52011011332
6221430230
746002156
oct17206112
97467110
104000842
11229298a
12140b376
13aa1081
14762066
1554067c
hex3d0c4a

4000842 has 12 divisors (see below), whose sum is σ = 8668530. Its totient is φ = 1333608.

The previous prime is 4000823. The next prime is 4000853. The reversal of 4000842 is 2480004.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2313441 + 1687401 = 1521^2 + 1299^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 222269 = 4000842 / (4 + 0 + 0 + 0 + 8 + 4 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111117 + ... + 111152.

Almost surely, 24000842 is an apocalyptic number.

4000842 is an abundant number, since it is smaller than the sum of its proper divisors (4667688).

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

4000842 is a wasteful number, since it uses less digits than its factorization.

4000842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222277 (or 222274 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4000842 is about 2000.2104889236. The cubic root of 4000842 is about 158.7512426794.

Adding to 4000842 its reverse (2480004), we get a palindrome (6480846).

The spelling of 4000842 in words is "four million, eight hundred forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 222269 444538 666807 1333614 2000421 4000842