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42705511 = 377397163
BaseRepresentation
bin1010001011101…
…0001001100111
32222100122221121
42202322021213
541413034021
64123154411
71025663602
oct242721147
988318847
1042705511
1122119312
1212375a07
138b03144
145959339
153b38741
hex28ba267

42705511 has 16 divisors (see below), whose sum is σ = 45194464. Its totient is φ = 40310784.

The previous prime is 42705497. The next prime is 42705529. The reversal of 42705511 is 11550724.

42705511 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a 11-Lehmer number, since φ(42705511) divides (42705511-1)11.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42705511 is a prime.

It is a super-2 number, since 2×427055112 = 3647521339542242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42705541) 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, 261916 + ... + 262078.

It is an arithmetic number, because the mean of its divisors is an integer number (2824654).

Almost surely, 242705511 is an apocalyptic number.

42705511 is a deficient number, since it is larger than the sum of its proper divisors (2488953).

42705511 is a wasteful number, since it uses less digits than its factorization.

42705511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370.

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 42705511 is about 6534.9453708505. The cubic root of 42705511 is about 349.5381963885.

The spelling of 42705511 in words is "forty-two million, seven hundred five thousand, five hundred eleven".

Divisors: 1 37 73 97 163 2701 3589 6031 7081 11899 15811 261997 440263 585007 1154203 42705511