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8028137 = 133131973
BaseRepresentation
bin11110100111111111101001
3120002212112102
4132213333221
54023400022
6444023145
7125144435
oct36477751
916085472
108028137
114593727
122831ab5
1318811a0
1410cd9c5
15a88a92
hex7a7fe9

8028137 has 8 divisors (see below), whose sum is σ = 8677704. Its totient is φ = 7383168.

The previous prime is 8028121. The next prime is 8028151. The reversal of 8028137 is 7318208.

It can be written as a sum of positive squares in 4 ways, for example, as 732736 + 7295401 = 856^2 + 2701^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 8028137 - 24 = 8028121 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8028107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3083 + ... + 5055.

It is an arithmetic number, because the mean of its divisors is an integer number (1084713).

Almost surely, 28028137 is an apocalyptic number.

It is an amenable number.

8028137 is a deficient number, since it is larger than the sum of its proper divisors (649567).

8028137 is a wasteful number, since it uses less digits than its factorization.

8028137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299.

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 8028137 is about 2833.3967247811. The cubic root of 8028137 is about 200.2342006432.

The spelling of 8028137 in words is "eight million, twenty-eight thousand, one hundred thirty-seven".

Divisors: 1 13 313 1973 4069 25649 617549 8028137