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8002969 = 13896917
BaseRepresentation
bin11110100001110110011001
3120001121000021
4132201312121
54022043334
6443310441
7125011162
oct36416631
916047007
108002969
114576827
12281b421
1318728b0
1410c4769
15a813b4
hex7a1d99

8002969 has 8 divisors (see below), whose sum is σ = 8716680. Its totient is φ = 7303296.

The previous prime is 8002961. The next prime is 8002987. The reversal of 8002969 is 9692008.

It can be written as a sum of positive squares in 4 ways, for example, as 90000 + 7912969 = 300^2 + 2813^2 .

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

It is not a de Polignac number, because 8002969 - 23 = 8002961 is a prime.

It is a super-2 number, since 2×80029692 = 128095025629922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8002961) 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, 2302 + ... + 4615.

It is an arithmetic number, because the mean of its divisors is an integer number (1089585).

Almost surely, 28002969 is an apocalyptic number.

8002969 is a gapful number since it is divisible by the number (89) formed by its first and last digit.

It is an amenable number.

8002969 is a deficient number, since it is larger than the sum of its proper divisors (713711).

8002969 is a wasteful number, since it uses less digits than its factorization.

8002969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7019.

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 8002969 is about 2828.9519260673. The cubic root of 8002969 is about 200.0247386065.

The spelling of 8002969 in words is "eight million, two thousand, nine hundred sixty-nine".

Divisors: 1 13 89 1157 6917 89921 615613 8002969