Search a number
-
+
4772096 = 2872663
BaseRepresentation
bin10010001101000100000000
322222110002022
4102031010000
52210201341
6250141012
755363550
oct22150400
98873068
104772096
11276a38a
121721768
13cb1134
148c3160
15643e4b
hex48d100

4772096 has 36 divisors (see below), whose sum is σ = 10890432. Its totient is φ = 2044416.

The previous prime is 4772077. The next prime is 4772107. The reversal of 4772096 is 6902774.

It is a super-3 number, since 3×47720963 (a number of 21 digits) contains 333 as substring.

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, 461 + ... + 3123.

It is an arithmetic number, because the mean of its divisors is an integer number (302512).

Almost surely, 24772096 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 4772096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5445216).

4772096 is an abundant number, since it is smaller than the sum of its proper divisors (6118336).

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

4772096 is an equidigital number, since it uses as much as digits as its factorization.

4772096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686 (or 2672 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 4772096 is about 2184.5127603198. The cubic root of 4772096 is about 168.3590205765.

The spelling of 4772096 in words is "four million, seven hundred seventy-two thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 2663 5326 10652 18641 21304 37282 42608 74564 85216 149128 170432 298256 340864 596512 681728 1193024 2386048 4772096