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42909085 = 5371371693
BaseRepresentation
bin1010001110101…
…1110110011101
32222202000012101
42203223312131
541441042320
64131405101
71030502242
oct243536635
988660171
1042909085
112224825a
1212453791
138b749bb
1459ad5c9
153b78c0a
hex28ebd9d

42909085 has 16 divisors (see below), whose sum is σ = 53300016. Its totient is φ = 33136128.

The previous prime is 42909043. The next prime is 42909089. The reversal of 42909085 is 58090924.

It can be written as a sum of positive squares in 8 ways, for example, as 840889 + 42068196 = 917^2 + 6486^2 .

It is a cyclic number.

It is not a de Polignac number, because 42909085 - 217 = 42778013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42909089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24499 + ... + 26191.

It is an arithmetic number, because the mean of its divisors is an integer number (3331251).

Almost surely, 242909085 is an apocalyptic number.

It is an amenable number.

42909085 is a deficient number, since it is larger than the sum of its proper divisors (10390931).

42909085 is a wasteful number, since it uses less digits than its factorization.

42909085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872.

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 42909085 is about 6550.5026524687. The cubic root of 42909085 is about 350.0927237323.

The spelling of 42909085 in words is "forty-two million, nine hundred nine thousand, eighty-five".

Divisors: 1 5 37 137 185 685 1693 5069 8465 25345 62641 231941 313205 1159705 8581817 42909085