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8002393 = 71767247
BaseRepresentation
bin11110100001101101011001
3120001120012221
4132201231121
54022034033
6443304041
7125006410
oct36415531
916046187
108002393
114576353
12281b021
131872559
1410c4477
15a8112d
hex7a1b59

8002393 has 8 divisors (see below), whose sum is σ = 9683712. Its totient is φ = 6455616.

The previous prime is 8002381. The next prime is 8002399. The reversal of 8002393 is 3932008.

It is a happy number.

8002393 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-8002393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8002399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33505 + ... + 33742.

It is an arithmetic number, because the mean of its divisors is an integer number (1210464).

Almost surely, 28002393 is an apocalyptic number.

It is an amenable number.

8002393 is a deficient number, since it is larger than the sum of its proper divisors (1681319).

8002393 is a wasteful number, since it uses less digits than its factorization.

8002393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67271.

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 8002393 is about 2828.8501197483. The cubic root of 8002393 is about 200.0199396786.

The spelling of 8002393 in words is "eight million, two thousand, three hundred ninety-three".

Divisors: 1 7 17 119 67247 470729 1143199 8002393