Search a number
-
+
4290512 = 242389131
BaseRepresentation
bin10000010111011111010000
322001222110212
4100113133100
52044244022
6231543252
751316532
oct20273720
98058425
104290512
112470586
12152ab28
13b72b85
147d9852
1559b3e2
hex4177d0

4290512 has 40 divisors (see below), whose sum is σ = 8838720. Its totient is φ = 2013440.

The previous prime is 4290499. The next prime is 4290529. The reversal of 4290512 is 2150924.

It is a Harshad number since it is a multiple of its sum of digits (23).

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 7 ways as a sum of consecutive naturals, for example, 32687 + ... + 32817.

It is an arithmetic number, because the mean of its divisors is an integer number (220968).

Almost surely, 24290512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4290512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4419360).

4290512 is an abundant number, since it is smaller than the sum of its proper divisors (4548208).

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

4290512 is a wasteful number, since it uses less digits than its factorization.

4290512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 4290512 is about 2071.3551119979. The cubic root of 4290512 is about 162.4936423548.

The spelling of 4290512 in words is "four million, two hundred ninety thousand, five hundred twelve".

Divisors: 1 2 4 8 16 23 46 89 92 131 178 184 262 356 368 524 712 1048 1424 2047 2096 3013 4094 6026 8188 11659 12052 16376 23318 24104 32752 46636 48208 93272 186544 268157 536314 1072628 2145256 4290512