Search a number
-
+
4286430 = 232597491
BaseRepresentation
bin10000010110011111011110
322001202212200
4100112133132
52044131210
6231512330
751301611
oct20263736
98052780
104286430
112468505
1215286a6
13b71065
147d8178
1559a0c0
hex4167de

4286430 has 48 divisors (see below), whose sum is σ = 11282544. Its totient is φ = 1128960.

The previous prime is 4286423. The next prime is 4286453. The reversal of 4286430 is 346824.

It is a junction number, because it is equal to n+sod(n) for n = 4286394 and 4286403.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8485 + ... + 8975.

It is an arithmetic number, because the mean of its divisors is an integer number (235053).

Almost surely, 24286430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4286430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5641272).

4286430 is an abundant number, since it is smaller than the sum of its proper divisors (6996114).

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

4286430 is a wasteful number, since it uses less digits than its factorization.

4286430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4286430 is about 2070.3695322333. The cubic root of 4286430 is about 162.4420937662.

The spelling of 4286430 in words is "four million, two hundred eighty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 291 485 491 582 873 970 982 1455 1473 1746 2455 2910 2946 4365 4419 4910 7365 8730 8838 14730 22095 44190 47627 95254 142881 238135 285762 428643 476270 714405 857286 1428810 2143215 4286430