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4788224 = 2127167
BaseRepresentation
bin10010010001000000000000
3100000021012122
4102101000000
52211210344
6250343412
755461560
oct22210000
910007178
104788224
112780511
12172ab68
13cb858c
148c8da0
15648aee
hex491000

4788224 has 52 divisors (see below), whose sum is σ = 11008704. Its totient is φ = 2039808.

The previous prime is 4788221. The next prime is 4788233. The reversal of 4788224 is 4228874.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4788221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28589 + ... + 28755.

Almost surely, 24788224 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 4788224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5504352).

4788224 is an abundant number, since it is smaller than the sum of its proper divisors (6220480).

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

4788224 is an equidigital number, since it uses as much as digits as its factorization.

4788224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 176 counting only the distinct ones).

The product of its digits is 28672, while the sum is 35.

The square root of 4788224 is about 2188.2010876517. The cubic root of 4788224 is about 168.5484719973.

The spelling of 4788224 in words is "four million, seven hundred eighty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 167 224 256 334 448 512 668 896 1024 1169 1336 1792 2048 2338 2672 3584 4096 4676 5344 7168 9352 10688 14336 18704 21376 28672 37408 42752 74816 85504 149632 171008 299264 342016 598528 684032 1197056 2394112 4788224