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42000012 = 22331572477
BaseRepresentation
bin1010000000110…
…1111010001100
32221000211012000
42200031322030
541223000022
64100112300
71016665005
oct240157214
987024160
1042000012
112178725a
1212095690
138916ca2
1458141ac
153a496ac
hex280de8c

42000012 has 48 divisors (see below), whose sum is σ = 109626720. Its totient is φ = 13905216.

The previous prime is 42000011. The next prime is 42000017. The reversal of 42000012 is 21000024.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 41999958 and 42000003.

It is not an unprimeable number, because it can be changed into a prime (42000011) 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 15 ways as a sum of consecutive naturals, for example, 15718 + ... + 18194.

It is an arithmetic number, because the mean of its divisors is an integer number (2283890).

Almost surely, 242000012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54813360).

42000012 is an abundant number, since it is smaller than the sum of its proper divisors (67626708).

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

42000012 is a wasteful number, since it uses less digits than its factorization.

42000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 42000012 is about 6480.7416242279. The cubic root of 42000012 is about 347.6026975937.

Adding to 42000012 its reverse (21000024), we get a palindrome (63000036).

The spelling of 42000012 in words is "forty-two million, twelve", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 157 314 471 628 942 1413 1884 2477 2826 4239 4954 5652 7431 8478 9908 14862 16956 22293 29724 44586 66879 89172 133758 267516 388889 777778 1166667 1555556 2333334 3500001 4666668 7000002 10500003 14000004 21000006 42000012