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866008153 = 2080941617
BaseRepresentation
bin110011100111100…
…011110001011001
32020100112202212001
4303213203301121
53233144230103
6221533321001
730313643053
oct6347436131
92210482761
10866008153
1140492581a
12202036161
1310a55477a
148302c8d3
155106501d
hex339e3c59

866008153 has 4 divisors (see below), whose sum is σ = 866070580. Its totient is φ = 865945728.

The previous prime is 866008127. The next prime is 866008159. The reversal of 866008153 is 351800668.

866008153 is a nontrivial binomial coefficient, being equal to C(41618, 2).

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 646583184 + 219424969 = 25428^2 + 14813^2 .

It is a 3-Lehmer number, since φ(866008153) divides (866008153-1)3.

It is a cyclic number.

It is not a de Polignac number, because 866008153 - 213 = 865999961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (866008159) 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 3 ways as a sum of consecutive naturals, for example, 1 + ... + 41617.

It is an arithmetic number, because the mean of its divisors is an integer number (216517645).

It is a Poulet number, since it divides 2866008152-1.

Almost surely, 2866008153 is an apocalyptic number.

866008153 is the 41617-th triangular number and also the 20809-th hexagonal number.

866008153 is the 13873-rd centered nonagonal number.

It is an amenable number.

866008153 is a deficient number, since it is larger than the sum of its proper divisors (62427).

866008153 is a wasteful number, since it uses less digits than its factorization.

866008153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62426.

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 866008153 is about 29428.0164639073. The cubic root of 866008153 is about 953.1779639732.

The spelling of 866008153 in words is "eight hundred sixty-six million, eight thousand, one hundred fifty-three".

Divisors: 1 20809 41617 866008153