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5435985 = 35418839
BaseRepresentation
bin10100101111001001010001
3101020011202210
4110233021101
52342422420
6312302333
764130232
oct24571121
911204683
105435985
113083155
1219a19a9
131184379
14a17089
157259e0
hex52f251

5435985 has 16 divisors (see below), whose sum is σ = 8910720. Its totient is φ = 2828160.

The previous prime is 5435959. The next prime is 5435987. The reversal of 5435985 is 5895345.

It is not a de Polignac number, because 5435985 - 25 = 5435953 is a prime.

It is a d-powerful number, because it can be written as 52 + 42 + 314 + 53 + 92 + 86 + 58 .

5435985 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (5435987) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3805 + ... + 5034.

It is an arithmetic number, because the mean of its divisors is an integer number (556920).

Almost surely, 25435985 is an apocalyptic number.

It is an amenable number.

5435985 is a deficient number, since it is larger than the sum of its proper divisors (3474735).

5435985 is a wasteful number, since it uses less digits than its factorization.

5435985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8888.

The product of its digits is 108000, while the sum is 39.

The square root of 5435985 is about 2331.5198905435. The cubic root of 5435985 is about 175.8299084159.

The spelling of 5435985 in words is "five million, four hundred thirty-five thousand, nine hundred eighty-five".

Divisors: 1 3 5 15 41 123 205 615 8839 26517 44195 132585 362399 1087197 1811995 5435985