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42033122 = 2293532053
BaseRepresentation
bin1010000001010…
…1111111100010
32221002111121022
42200111333202
541230024442
64100525442
71020163355
oct240257742
987074538
1042033122
11217aa11a
12120b0882
138929091
14582229c
153a543d2
hex2815fe2

42033122 has 16 divisors (see below), whose sum is σ = 65440440. Its totient is φ = 20224512.

The previous prime is 42033113. The next prime is 42033127. The reversal of 42033122 is 22133024.

42033122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 35058241 + 6974881 = 5921^2 + 2641^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42033122.

It is not an unprimeable number, because it can be changed into a prime (42033127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19448 + ... + 21500.

Almost surely, 242033122 is an apocalyptic number.

42033122 is a deficient number, since it is larger than the sum of its proper divisors (23407318).

42033122 is a wasteful number, since it uses less digits than its factorization.

42033122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437.

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 42033122 is about 6483.2956125724. The cubic root of 42033122 is about 347.6940158398.

Adding to 42033122 its reverse (22133024), we get a palindrome (64166146).

The spelling of 42033122 in words is "forty-two million, thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 29 58 353 706 2053 4106 10237 20474 59537 119074 724709 1449418 21016561 42033122