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42053361 = 3723831049
BaseRepresentation
bin1010000001101…
…0111011110001
32221010112100220
42200122323301
541231201421
64101203253
71020306360
oct240327361
987115326
1042053361
1121813349
1212100529
13893535c
1458297d7
153a5a3c6
hex281aef1

42053361 has 32 divisors (see below), whose sum is σ = 67737600. Its totient is φ = 22687104.

The previous prime is 42053353. The next prime is 42053377. The reversal of 42053361 is 16335024.

It is a happy number.

42053361 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 42053361 - 23 = 42053353 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42053311) 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, 39565 + ... + 40613.

It is an arithmetic number, because the mean of its divisors is an integer number (2116800).

Almost surely, 242053361 is an apocalyptic number.

It is an amenable number.

42053361 is a deficient number, since it is larger than the sum of its proper divisors (25684239).

42053361 is a wasteful number, since it uses less digits than its factorization.

42053361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 42053361 is about 6484.8562821392. The cubic root of 42053361 is about 347.7498119177.

Adding to 42053361 its reverse (16335024), we get a palindrome (58388385).

The spelling of 42053361 in words is "forty-two million, fifty-three thousand, three hundred sixty-one".

Divisors: 1 3 7 21 23 69 83 161 249 483 581 1049 1743 1909 3147 5727 7343 13363 22029 24127 40089 72381 87067 168889 261201 506667 609469 1828407 2002541 6007623 14017787 42053361