Search a number
-
+
4779328 = 26531409
BaseRepresentation
bin10010001110110101000000
322222211000011
4102032311000
52210414303
6250234304
755423621
oct22166500
98884004
104779328
112774864
121725994
13cb4508
148c5a48
1564616d
hex48ed40

4779328 has 28 divisors (see below), whose sum is σ = 9669780. Its totient is φ = 2342912.

The previous prime is 4779277. The next prime is 4779337. The reversal of 4779328 is 8239774.

4779328 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1364224 + 3415104 = 1168^2 + 1848^2 .

It is a super-2 number, since 2×47793282 = 45683952263168, which contains 22 as substring.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2688 + ... + 4096.

Almost surely, 24779328 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 4779328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4834890).

4779328 is an abundant number, since it is smaller than the sum of its proper divisors (4890452).

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

4779328 is a wasteful number, since it uses less digits than its factorization.

4779328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1464 counting only the distinct ones).

The product of its digits is 84672, while the sum is 40.

The square root of 4779328 is about 2186.1674226829. The cubic root of 4779328 is about 168.4440257040. Note that the first 3 decimals are identical.

The spelling of 4779328 in words is "four million, seven hundred seventy-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1409 1696 2818 3392 5636 11272 22544 45088 74677 90176 149354 298708 597416 1194832 2389664 4779328