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42436521 = 3337107397
BaseRepresentation
bin1010000111100…
…0011110101001
32221211222222000
42201320132221
541330432041
64113321213
71023463431
oct241703651
987758860
1042436521
1121a55206
1212266209
138a3a88a
1458c92c1
153ad3bb6
hex28787a9

42436521 has 32 divisors (see below), whose sum is σ = 65335680. Its totient is φ = 27200448.

The previous prime is 42436507. The next prime is 42436529. The reversal of 42436521 is 12563424.

42436521 is a `hidden beast` number, since 4 + 2 + 4 + 3 + 652 + 1 = 666.

42436521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42436521 - 217 = 42305449 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42436529) 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 31 ways as a sum of consecutive naturals, for example, 106695 + ... + 107091.

It is an arithmetic number, because the mean of its divisors is an integer number (2041740).

Almost surely, 242436521 is an apocalyptic number.

It is an amenable number.

42436521 is a deficient number, since it is larger than the sum of its proper divisors (22899159).

42436521 is a wasteful number, since it uses less digits than its factorization.

42436521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 544 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 42436521 is about 6514.3319688207. The cubic root of 42436521 is about 348.8027692148.

Adding to 42436521 its reverse (12563424), we get a palindrome (54999945).

The spelling of 42436521 in words is "forty-two million, four hundred thirty-six thousand, five hundred twenty-one".

Divisors: 1 3 9 27 37 107 111 321 333 397 963 999 1191 2889 3573 3959 10719 11877 14689 35631 42479 44067 106893 127437 132201 382311 396603 1146933 1571723 4715169 14145507 42436521