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4048480 = 25525303
BaseRepresentation
bin1111011100011001100000
321121200110201
433130121200
52014022410
6222434544
746261102
oct17343140
97550421
104048480
112315757
121432a54
13ab9967
14775572
1554e83a
hex3dc660

4048480 has 24 divisors (see below), whose sum is σ = 9564912. Its totient is φ = 1619328.

The previous prime is 4048477. The next prime is 4048481. The reversal of 4048480 is 848404.

It is a happy number.

4048480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (28) 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 (4048481) 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, 12492 + ... + 12811.

It is an arithmetic number, because the mean of its divisors is an integer number (398538).

Almost surely, 24048480 is an apocalyptic number.

4048480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4048480 is an abundant number, since it is smaller than the sum of its proper divisors (5516432).

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

4048480 is a wasteful number, since it uses less digits than its factorization.

4048480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25318 (or 25310 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 4048480 is about 2012.0834972734. The cubic root of 4048480 is about 159.3788416349.

The spelling of 4048480 in words is "four million, forty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 25303 50606 101212 126515 202424 253030 404848 506060 809696 1012120 2024240 4048480