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42000822 = 233839371
BaseRepresentation
bin1010000000111…
…0000110110110
32221000212022000
42200032012312
541223011242
64100120130
71020000243
oct240160666
987025260
1042000822
1121787926
1212096046
138917476
1458145ca
153a49a4c
hex280e1b6

42000822 has 32 divisors (see below), whose sum is σ = 94469760. Its totient is φ = 13830120.

The previous prime is 42000821. The next prime is 42000841. The reversal of 42000822 is 22800024.

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

It is a junction number, because it is equal to n+sod(n) for n = 42000795 and 42000804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42000821) 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, 204 + ... + 9167.

It is an arithmetic number, because the mean of its divisors is an integer number (2952180).

Almost surely, 242000822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42000822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47234880).

42000822 is an abundant number, since it is smaller than the sum of its proper divisors (52468938).

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

42000822 is a wasteful number, since it uses less digits than its factorization.

42000822 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9465 (or 9459 counting only the distinct ones).

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

The square root of 42000822 is about 6480.8041167744. The cubic root of 42000822 is about 347.6049321674.

Adding to 42000822 its reverse (22800024), we get a palindrome (64800846).

The spelling of 42000822 in words is "forty-two million, eight hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 54 83 166 249 498 747 1494 2241 4482 9371 18742 28113 56226 84339 168678 253017 506034 777793 1555586 2333379 4666758 7000137 14000274 21000411 42000822