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4082240 = 26512757
BaseRepresentation
bin1111100100101001000000
321200101210002
433210221000
52021112430
6223255132
746461401
oct17445100
97611702
104082240
112339058
12144a4a8
13acc136
147839a8
15559845
hex3e4a40

4082240 has 28 divisors (see below), whose sum is σ = 9721596. Its totient is φ = 1632768.

The previous prime is 4082237. The next prime is 4082249. The reversal of 4082240 is 422804.

It can be written as a sum of positive squares in 2 ways, for example, as 1915456 + 2166784 = 1384^2 + 1472^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4082249) 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, 6059 + ... + 6698.

Almost surely, 24082240 is an apocalyptic number.

4082240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4082240 is an abundant number, since it is smaller than the sum of its proper divisors (5639356).

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

4082240 is a wasteful number, since it uses less digits than its factorization.

4082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12774 (or 12764 counting only the distinct ones).

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

The square root of 4082240 is about 2020.4553942119. The cubic root of 4082240 is about 159.8206323287.

The spelling of 4082240 in words is "four million, eighty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 12757 25514 51028 63785 102056 127570 204112 255140 408224 510280 816448 1020560 2041120 4082240