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42162822 = 23313173533
BaseRepresentation
bin1010000011010…
…1101010000110
32221100002112000
42200311222012
541243202242
64103410130
71021243452
oct240655206
987302460
1042162822
1121888609
1212153946
138973120
145857662
153a7ca4c
hex2835a86

42162822 has 64 divisors (see below), whose sum is σ = 106868160. Its totient is φ = 12206592.

The previous prime is 42162817. The next prime is 42162823. The reversal of 42162822 is 22826124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42162823) 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 31 ways as a sum of consecutive naturals, for example, 10168 + ... + 13700.

It is an arithmetic number, because the mean of its divisors is an integer number (1669815).

Almost surely, 242162822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42162822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53434080).

42162822 is an abundant number, since it is smaller than the sum of its proper divisors (64705338).

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

42162822 is a wasteful number, since it uses less digits than its factorization.

42162822 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3574 (or 3568 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 42162822 is about 6493.2905371622. The cubic root of 42162822 is about 348.0512706861.

Adding to 42162822 its reverse (22826124), we get a palindrome (64988946).

The spelling of 42162822 in words is "forty-two million, one hundred sixty-two thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 221 234 306 351 442 459 663 702 918 1326 1989 3533 3978 5967 7066 10599 11934 21198 31797 45929 60061 63594 91858 95391 120122 137787 180183 190782 275574 360366 413361 540549 780793 826722 1081098 1240083 1561586 1621647 2342379 2480166 3243294 4684758 7027137 14054274 21081411 42162822