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4000042 = 24148781
BaseRepresentation
bin1111010000100100101010
321112020000201
433100210222
52011000132
6221422414
745666634
oct17204452
97466021
104000042
112292322
12140aa0a
13aa08b7
14761a54
155402e7
hex3d092a

4000042 has 8 divisors (see below), whose sum is σ = 6146532. Its totient is φ = 1951200.

The previous prime is 4000039. The next prime is 4000043. The reversal of 4000042 is 2400004.

It can be written as a sum of positive squares in 2 ways, for example, as 2792241 + 1207801 = 1671^2 + 1099^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-4 number, since 4×40000424 (a number of 28 digits) contains 4444 as substring.

4000042 is a modest number, since divided by 42 gives 4 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 3999992 and 4000028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24309 + ... + 24472.

Almost surely, 24000042 is an apocalyptic number.

4000042 is a deficient number, since it is larger than the sum of its proper divisors (2146490).

4000042 is a wasteful number, since it uses less digits than its factorization.

4000042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48824.

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 4000042 is about 2000.0104999724. The cubic root of 4000042 is about 158.7406607852.

Adding to 4000042 its reverse (2400004), we get a palindrome (6400046).

It can be divided in two parts, 400004 and 2, that multiplied together give a palindrome (800008).

The spelling of 4000042 in words is "four million, forty-two", and thus it is an aban number and an eban number.

Divisors: 1 2 41 82 48781 97562 2000021 4000042