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42001659 = 34774077
BaseRepresentation
bin1010000000111…
…0010011111011
32221000220110000
42200032103323
541223023114
64100124043
71020002550
oct240162373
987026400
1042001659
1121788517
1212096623
13891796b
145814a27
153a49e09
hex280e4fb

42001659 has 20 divisors (see below), whose sum is σ = 71707504. Its totient is φ = 24000624.

The previous prime is 42001651. The next prime is 42001667. The reversal of 42001659 is 95610024.

42001659 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 1 + 659 = 666.

42001659 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42001651) and next prime (42001667).

It is not a de Polignac number, because 42001659 - 23 = 42001651 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42001651) 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 19 ways as a sum of consecutive naturals, for example, 36472 + ... + 37605.

Almost surely, 242001659 is an apocalyptic number.

42001659 is a deficient number, since it is larger than the sum of its proper divisors (29705845).

42001659 is an equidigital number, since it uses as much as digits as its factorization.

42001659 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74096 (or 74087 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 42001659 is about 6480.8686917727. The cubic root of 42001659 is about 347.6072411968.

The spelling of 42001659 in words is "forty-two million, one thousand, six hundred fifty-nine".

Divisors: 1 3 7 9 21 27 63 81 189 567 74077 222231 518539 666693 1555617 2000079 4666851 6000237 14000553 42001659