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4048224 = 25342169
BaseRepresentation
bin1111011100010101100000
321121200010020
433130111200
52014020344
6222433440
746260255
oct17342540
97550106
104048224
112315544
121432880
13ab97cb
1477542c
1554e719
hex3dc560

4048224 has 24 divisors (see below), whose sum is σ = 10626840. Its totient is φ = 1349376.

The previous prime is 4048223. The next prime is 4048229. The reversal of 4048224 is 4228404.

4048224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4048194 and 4048203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4048223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20989 + ... + 21180.

It is an arithmetic number, because the mean of its divisors is an integer number (442785).

Almost surely, 24048224 is an apocalyptic number.

It is an amenable number.

4048224 is an abundant number, since it is smaller than the sum of its proper divisors (6578616).

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

4048224 is a wasteful number, since it uses less digits than its factorization.

4048224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42182 (or 42174 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4048224 is about 2012.0198806175. The cubic root of 4048224 is about 159.3754821977.

The spelling of 4048224 in words is "four million, forty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 42169 84338 126507 168676 253014 337352 506028 674704 1012056 1349408 2024112 4048224