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42035322 = 23717113521
BaseRepresentation
bin1010000001011…
…0100001111010
32221002121121210
42200112201322
541230112242
64100543550
71020202650
oct240264172
987077553
1042035322
112180083a
12120b1bb6
13892a094
145822dd0
153a54d9c
hex281687a

42035322 has 64 divisors (see below), whose sum is σ = 102829824. Its totient is φ = 11182080.

The previous prime is 42035321. The next prime is 42035341. The reversal of 42035322 is 22353024.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (42035321) 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, 80422 + ... + 80942.

It is an arithmetic number, because the mean of its divisors is an integer number (1606716).

Almost surely, 242035322 is an apocalyptic number.

42035322 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42035322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51414912).

42035322 is an abundant number, since it is smaller than the sum of its proper divisors (60794502).

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

42035322 is a wasteful number, since it uses less digits than its factorization.

42035322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663.

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 42035322 is about 6483.4652771492. The cubic root of 42035322 is about 347.7000817980.

Adding to 42035322 its reverse (22353024), we get a palindrome (64388346).

The spelling of 42035322 in words is "forty-two million, thirty-five thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 113 119 226 238 339 357 521 678 714 791 1042 1563 1582 1921 2373 3126 3647 3842 4746 5763 7294 8857 10941 11526 13447 17714 21882 26571 26894 40341 53142 58873 61999 80682 117746 123998 176619 185997 353238 371994 412111 824222 1000841 1236333 2001682 2472666 3002523 6005046 7005887 14011774 21017661 42035322