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42000006 = 2319735533
BaseRepresentation
bin1010000000110…
…1111010000110
32221000211011210
42200031322012
541223000011
64100112250
71016664666
oct240157206
987024153
1042000006
1121787254
1212095686
138916c99
1458141a6
153a496a6
hex280de86

42000006 has 16 divisors (see below), whose sum is σ = 84428784. Its totient is φ = 13928544.

The previous prime is 41999987. The next prime is 42000011. The reversal of 42000006 is 60000024.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 41999955 and 42000000.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 16585 + ... + 18948.

It is an arithmetic number, because the mean of its divisors is an integer number (5276799).

Almost surely, 242000006 is an apocalyptic number.

42000006 is an abundant number, since it is smaller than the sum of its proper divisors (42428778).

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

42000006 is a wasteful number, since it uses less digits than its factorization.

42000006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35735.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 42000006 is about 6480.7411613179. The cubic root of 42000006 is about 347.6026810412.

The spelling of 42000006 in words is "forty-two million, six", and thus it is an aban number, an eban number, and an uban number.

Divisors: 1 2 3 6 197 394 591 1182 35533 71066 106599 213198 7000001 14000002 21000003 42000006