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42065082 = 234733557
BaseRepresentation
bin1010000001110…
…1110010111010
32221011010110000
42200131302322
541232040312
64101333430
71020355503
oct240356272
987133400
1042065082
1121821134
1212107276
13893a7a7
14582dbaa
153a5dadc
hex281dcba

42065082 has 40 divisors (see below), whose sum is σ = 95574996. Its totient is φ = 13825728.

The previous prime is 42065081. The next prime is 42065083. The reversal of 42065082 is 28056024.

42065082 is a `hidden beast` number, since 4 + 2 + 0 + 650 + 8 + 2 = 666.

42065082 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 (42065081) and next prime (42065083).

It can be written as a sum of positive squares in 2 ways, for example, as 40717161 + 1347921 = 6381^2 + 1161^2 .

It is a super-2 number, since 2×420650822 = 3538942247333448, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (42065081) 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, 10048 + ... + 13604.

Almost surely, 242065082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42065082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47787498).

42065082 is an abundant number, since it is smaller than the sum of its proper divisors (53509914).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42065082 is a wasteful number, since it uses less digits than its factorization.

42065082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 42065082 is about 6485.7599400533. The cubic root of 42065082 is about 347.7821168816.

The spelling of 42065082 in words is "forty-two million, sixty-five thousand, eighty-two".

Divisors: 1 2 3 6 9 18 27 54 73 81 146 162 219 438 657 1314 1971 3557 3942 5913 7114 10671 11826 21342 32013 64026 96039 192078 259661 288117 519322 576234 778983 1557966 2336949 4673898 7010847 14021694 21032541 42065082