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4485952 = 26292417
BaseRepresentation
bin10001000111001101000000
322102220120101
4101013031000
52122022302
6240052144
753062402
oct21071500
98386511
104485952
1125943a9
121604054
13c10b13
1484ab72
155d9287
hex447340

4485952 has 28 divisors (see below), whose sum is σ = 9212580. Its totient is φ = 2164736.

The previous prime is 4485941. The next prime is 4485953. The reversal of 4485952 is 2595844.

It can be written as a sum of positive squares in 2 ways, for example, as 3594816 + 891136 = 1896^2 + 944^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4485953) 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, 648 + ... + 3064.

Almost surely, 24485952 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 4485952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4606290).

4485952 is an abundant number, since it is smaller than the sum of its proper divisors (4726628).

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

4485952 is a wasteful number, since it uses less digits than its factorization.

4485952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458 (or 2448 counting only the distinct ones).

The product of its digits is 57600, while the sum is 37.

The square root of 4485952 is about 2118.0066099991. The cubic root of 4485952 is about 164.9243853104.

It can be divided in two parts, 448 and 5952, that added together give a square (6400 = 802).

The spelling of 4485952 in words is "four million, four hundred eighty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1856 2417 4834 9668 19336 38672 70093 77344 140186 154688 280372 560744 1121488 2242976 4485952