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8039440 = 245100493
BaseRepresentation
bin11110101010110000010000
3120010110001001
4132222300100
54024230230
6444151344
7125222413
oct36526020
916113031
108039440
1145a1172
122838554
131886386
1410d3b7a
15a8c0ca
hex7aac10

8039440 has 20 divisors (see below), whose sum is σ = 18691884. Its totient is φ = 3215744.

The previous prime is 8039431. The next prime is 8039441. The reversal of 8039440 is 449308.

It can be written as a sum of positive squares in 2 ways, for example, as 6390784 + 1648656 = 2528^2 + 1284^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 8039399 and 8039408.

It is not an unprimeable number, because it can be changed into a prime (8039441) 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, 50167 + ... + 50326.

Almost surely, 28039440 is an apocalyptic number.

8039440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8039440 is an abundant number, since it is smaller than the sum of its proper divisors (10652444).

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

8039440 is a wasteful number, since it uses less digits than its factorization.

8039440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100506 (or 100500 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 8039440 is about 2835.3906256458. The cubic root of 8039440 is about 200.3281280322.

Adding to 8039440 its product of nonzero digits (3456), we get a square (8042896 = 28362).

The spelling of 8039440 in words is "eight million, thirty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 100493 200986 401972 502465 803944 1004930 1607888 2009860 4019720 8039440