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43142085 = 335771643
BaseRepresentation
bin1010010010010…
…0101111000101
310000011211211000
42210210233011
542021021320
64140403513
71032462450
oct244445705
9100154730
1043142085
1122397318
1212546599
138c26a7c
145a30497
153bc2c90
hex2924bc5

43142085 has 64 divisors (see below), whose sum is σ = 89026560. Its totient is φ = 19414080.

The previous prime is 43142083. The next prime is 43142087. The reversal of 43142085 is 58024134.

It is an interprime number because it is at equal distance from previous prime (43142083) and next prime (43142087).

It is not a de Polignac number, because 43142085 - 21 = 43142083 is a prime.

It is a super-2 number, since 2×431420852 = 3722478996294450, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43142083) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66774 + ... + 67416.

It is an arithmetic number, because the mean of its divisors is an integer number (1391040).

Almost surely, 243142085 is an apocalyptic number.

43142085 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

43142085 is an abundant number, since it is smaller than the sum of its proper divisors (45884475).

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

43142085 is a wasteful number, since it uses less digits than its factorization.

43142085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 729 counting only the distinct ones).

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

The square root of 43142085 is about 6568.2634691370. The cubic root of 43142085 is about 350.7252580119.

The spelling of 43142085 in words is "forty-three million, one hundred forty-two thousand, eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 71 105 135 189 213 315 355 497 639 643 945 1065 1491 1917 1929 2485 3195 3215 4473 4501 5787 7455 9585 9645 13419 13503 17361 22365 22505 28935 40509 45653 67095 67515 86805 121527 136959 202545 228265 319571 410877 607635 684795 958713 1232631 1597855 2054385 2876139 4793565 6163155 8628417 14380695 43142085