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42705951 = 3293311483
BaseRepresentation
bin1010001011101…
…0010000011111
32222100200112220
42202322100133
541413042301
64123200423
71025665101
oct242722037
988320486
1042705951
1122119682
1212376113
138b033c2
145959571
153b38936
hex28ba41f

42705951 has 16 divisors (see below), whose sum is σ = 59122560. Its totient is φ = 27387360.

The previous prime is 42705913. The next prime is 42705953. The reversal of 42705951 is 15950724.

42705951 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 42705951 - 27 = 42705823 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42705953) 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 15 ways as a sum of consecutive naturals, for example, 28056 + ... + 29538.

It is an arithmetic number, because the mean of its divisors is an integer number (3695160).

Almost surely, 242705951 is an apocalyptic number.

42705951 is a deficient number, since it is larger than the sum of its proper divisors (16416609).

42705951 is a wasteful number, since it uses less digits than its factorization.

42705951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846.

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 42705951 is about 6534.9790359266. The cubic root of 42705951 is about 349.5393968290.

The spelling of 42705951 in words is "forty-two million, seven hundred five thousand, nine hundred fifty-one".

Divisors: 1 3 29 87 331 993 1483 4449 9599 28797 43007 129021 490873 1472619 14235317 42705951