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4284590985 = 34534930313
BaseRepresentation
bin1111111101100001…
…1010101110001001
3102001121012202220000
43333120122232021
532233323402420
61545053353213
7211114264623
oct37730325611
912047182800
104284590985
1118a95a3694
129b6a98809
1353388594c
142c9075c13
151a123d690
hexff61ab89

4284590985 has 40 divisors (see below), whose sum is σ = 7702787400. Its totient is φ = 2278492416.

The previous prime is 4284590983. The next prime is 4284591007. The reversal of 4284590985 is 5890954824.

It is a happy number.

4284590985 is a `hidden beast` number, since 42 + 8 + 4 + 590 + 9 + 8 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1696121856 + 2588469129 = 41184^2 + 50877^2 .

It is not a de Polignac number, because 4284590985 - 21 = 4284590983 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4284590983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 126189 + ... + 156501.

It is an arithmetic number, because the mean of its divisors is an integer number (192569685).

Almost surely, 24284590985 is an apocalyptic number.

4284590985 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4284590985 is a deficient number, since it is larger than the sum of its proper divisors (3418196415).

4284590985 is a wasteful number, since it uses less digits than its factorization.

4284590985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30679 (or 30670 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The square root of 4284590985 is about 65456.7871576355. The cubic root of 4284590985 is about 1624.1885949906.

The spelling of 4284590985 in words is "four billion, two hundred eighty-four million, five hundred ninety thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 81 135 349 405 1047 1745 3141 5235 9423 15705 28269 30313 47115 90939 141345 151565 272817 454695 818451 1364085 2455353 4092255 10579237 12276765 31737711 52896185 95213133 158688555 285639399 476065665 856918197 1428196995 4284590985