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4289256 = 2332411453
BaseRepresentation
bin10000010111001011101000
322001220202100
4100113023220
52044224011
6231533400
751313056
oct20271350
98056670
104289256
11246a644
12152a260
13b7242a
147d91d6
1559ad56
hex4172e8

4289256 has 48 divisors (see below), whose sum is σ = 11908260. Its totient is φ = 1393920.

The previous prime is 4289251. The next prime is 4289279. The reversal of 4289256 is 6529824.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4284900 + 4356 = 2070^2 + 66^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 4 + 221 + 85 + 95 + 221 + 55 + 6 .

It is a self number, because there is not a number n which added to its sum of digits gives 4289256.

It is not an unprimeable number, because it can be changed into a prime (4289251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2226 + ... + 3678.

Almost surely, 24289256 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 4289256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5954130).

4289256 is an abundant number, since it is smaller than the sum of its proper divisors (7619004).

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

4289256 is a wasteful number, since it uses less digits than its factorization.

4289256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1499 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 4289256 is about 2071.0519066407. The cubic root of 4289256 is about 162.4777847343.

It can be divided in two parts, 42 and 89256, that added together give a palindrome (89298).

The spelling of 4289256 in words is "four million, two hundred eighty-nine thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1453 1476 2906 2952 4359 5812 8718 11624 13077 17436 26154 34872 52308 59573 104616 119146 178719 238292 357438 476584 536157 714876 1072314 1429752 2144628 4289256