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42188169 = 3175991381
BaseRepresentation
bin1010000011101…
…1110110001001
32221101101021210
42200323312021
541300010134
64104123333
71021410402
oct240736611
987341253
1042188169
11218a5661
1212166549
13898181a
1458629a9
153a852e9
hex283bd89

42188169 has 16 divisors (see below), whose sum is σ = 59702400. Its totient is φ = 26407680.

The previous prime is 42188147. The next prime is 42188173. The reversal of 42188169 is 96188124.

42188169 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 42188169 - 215 = 42155401 is a prime.

It is a super-2 number, since 2×421881692 = 3559683207145122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42188269) 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, 29859 + ... + 31239.

It is an arithmetic number, because the mean of its divisors is an integer number (3731400).

Almost surely, 242188169 is an apocalyptic number.

It is an amenable number.

42188169 is a deficient number, since it is larger than the sum of its proper divisors (17514231).

42188169 is a wasteful number, since it uses less digits than its factorization.

42188169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000.

The product of its digits is 27648, while the sum is 39.

The square root of 42188169 is about 6495.2420278231. The cubic root of 42188169 is about 348.1210026433.

The spelling of 42188169 in words is "forty-two million, one hundred eighty-eight thousand, one hundred sixty-nine".

Divisors: 1 3 17 51 599 1381 1797 4143 10183 23477 30549 70431 827219 2481657 14062723 42188169