[go: up one dir, main page]

Search a number
-
+
42386085 = 345714951
BaseRepresentation
bin1010000110110…
…0001010100101
32221202102210000
42201230022211
541322323320
64112251513
71023163410
oct241541245
987672700
1042386085
1121a20325
1212240b99
138a20931
1458b4b77
153ac3c90
hex286c2a5

42386085 has 40 divisors (see below), whose sum is σ = 86841216. Its totient is φ = 19375200.

The previous prime is 42386059. The next prime is 42386129. The reversal of 42386085 is 58068324.

42386085 is a `hidden beast` number, since 42 + 3 + 8 + 608 + 5 = 666.

It is not a de Polignac number, because 42386085 - 215 = 42353317 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4641 + ... + 10310.

Almost surely, 242386085 is an apocalyptic number.

42386085 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42386085 is an abundant number, since it is smaller than the sum of its proper divisors (44455131).

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

42386085 is a wasteful number, since it uses less digits than its factorization.

42386085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14975 (or 14966 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 42386085 is about 6510.4596611914. The cubic root of 42386085 is about 348.6645298702.

The spelling of 42386085 in words is "forty-two million, three hundred eighty-six thousand, eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2835 14951 44853 74755 104657 134559 224265 313971 403677 523285 672795 941913 1211031 1569855 2018385 2825739 4709565 6055155 8477217 14128695 42386085