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42022314 = 234259397
BaseRepresentation
bin1010000001001…
…1010110101010
32221001221210000
42200103112222
541224203224
64100403430
71020120015
oct240232652
987057700
1042022314
11217a1a94
12120a6576
138924199
14581c37c
153a510c9
hex28135aa

42022314 has 20 divisors (see below), whose sum is σ = 94161474. Its totient is φ = 14007384.

The previous prime is 42022313. The next prime is 42022339. The reversal of 42022314 is 41322024.

It can be written as a sum of positive squares in only one way, i.e., 41409225 + 613089 = 6435^2 + 783^2 .

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

It is not an unprimeable number, because it can be changed into a prime (42022313) 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 9 ways as a sum of consecutive naturals, for example, 129537 + ... + 129860.

Almost surely, 242022314 is an apocalyptic number.

42022314 is an abundant number, since it is smaller than the sum of its proper divisors (52139160).

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

42022314 is a wasteful number, since it uses less digits than its factorization.

42022314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259411 (or 259402 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42022314 is about 6482.4620322837. The cubic root of 42022314 is about 347.6642123667.

Adding to 42022314 its reverse (41322024), we get a palindrome (83344338).

The spelling of 42022314 in words is "forty-two million, twenty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 259397 518794 778191 1556382 2334573 4669146 7003719 14007438 21011157 42022314