Search a number
-
+
4048040 = 235175953
BaseRepresentation
bin1111011100010010101000
321121122212102
433130102220
52014014130
6222432532
746256603
oct17342250
97548772
104048040
112315397
121432748
13ab96b9
1477533a
1554e645
hex3dc4a8

4048040 has 32 divisors (see below), whose sum is σ = 9645480. Its totient is φ = 1523712.

The previous prime is 4048013. The next prime is 4048043. The reversal of 4048040 is 408404.

4048040 is digitally balanced in base 2, 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 4 ways, for example, as 2515396 + 1532644 = 1586^2 + 1238^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4048043) 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 7 ways as a sum of consecutive naturals, for example, 2297 + ... + 3656.

Almost surely, 24048040 is an apocalyptic number.

4048040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4048040 is an abundant number, since it is smaller than the sum of its proper divisors (5597440).

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

4048040 is a wasteful number, since it uses less digits than its factorization.

4048040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5981 (or 5977 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4048040 is about 2011.9741549036. The cubic root of 4048040 is about 159.3730675147.

The spelling of 4048040 in words is "four million, forty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 5953 11906 23812 29765 47624 59530 101201 119060 202402 238120 404804 506005 809608 1012010 2024020 4048040