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42132442 = 2112174101
BaseRepresentation
bin1010000010111…
…0001111011010
32221021112211211
42200232033122
541241214232
64103013334
71021056052
oct240561732
987245754
1042132442
1121867800
121213a24a
138962351
14584a562
153a73a47
hex282e3da

42132442 has 12 divisors (see below), whose sum is σ = 69466698. Its totient is φ = 19151000.

The previous prime is 42132439. The next prime is 42132449. The reversal of 42132442 is 24423124.

It is a happy number.

42132442 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 only one way, i.e., 37810201 + 4322241 = 6149^2 + 2079^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (42132449) 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 5 ways as a sum of consecutive naturals, for example, 86809 + ... + 87292.

Almost surely, 242132442 is an apocalyptic number.

42132442 is a deficient number, since it is larger than the sum of its proper divisors (27334256).

42132442 is a wasteful number, since it uses less digits than its factorization.

42132442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174125 (or 174114 counting only the distinct ones).

The product of its digits is 1536, while the sum is 22.

The square root of 42132442 is about 6490.9507778137. The cubic root of 42132442 is about 347.9676556454.

Adding to 42132442 its reverse (24423124), we get a palindrome (66555566).

The spelling of 42132442 in words is "forty-two million, one hundred thirty-two thousand, four hundred forty-two".

Divisors: 1 2 11 22 121 242 174101 348202 1915111 3830222 21066221 42132442