Search a number
BaseRepresentation
bin1111101000010
3101222101
41331002
5224002
6101014
732221
oct17502
911871
108002
116015
12476a
133847
142cb8
152587
hex1f42

8002 has 4 divisors (see below), whose sum is σ = 12006. Its totient is φ = 4000.

The previous prime is 7993. The next prime is 8009. The reversal of 8002 is 2008.

It can be divided in two parts, 800 and 2, that multiplied together give a square (1600 = 402).

It is a happy number.

8002 is nontrivially palindromic in base 3.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in only one way, i.e., 7921 + 81 = 89^2 + 9^2 .

It is a pancake number, because a pancake can be divided into 8002 parts by 126 straight cuts.

It is a nialpdrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 8002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1999 + ... + 2002.

28002 is an apocalyptic number.

8002 is a deficient number, since it is larger than the sum of its proper divisors (4004).

8002 is a wasteful number, since it uses less digits than its factorization.

8002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4003.

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 8002 is about 89.4538987412. The cubic root of 8002 is about 20.0016665278.

The spelling of 8002 in words is "eight thousand, two".

Divisors: 1 2 4001 8002