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814153039 = 7179661983
BaseRepresentation
bin110000100001101…
…111110101001111
32002201222021000021
4300201233311033
53131410344124
6212442043011
726114121010
oct6041576517
92081867007
10814153039
11388628257
121a87a9467
13cc899b7b
147a1b1007
154b7207e4
hex3086fd4f

814153039 has 16 divisors (see below), whose sum is σ = 938027520. Its totient is φ = 692192160.

The previous prime is 814153033. The next prime is 814153061. The reversal of 814153039 is 930351418.

It is a cyclic number.

It is not a de Polignac number, because 814153039 - 25 = 814153007 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 814152995 and 814153013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814153033) 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 15 ways as a sum of consecutive naturals, for example, 827742 + ... + 828724.

It is an arithmetic number, because the mean of its divisors is an integer number (58626720).

Almost surely, 2814153039 is an apocalyptic number.

814153039 is a deficient number, since it is larger than the sum of its proper divisors (123874481).

814153039 is a wasteful number, since it uses less digits than its factorization.

814153039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830.

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 814153039 is about 28533.3671164130. The cubic root of 814153039 is about 933.7601796591.

The spelling of 814153039 in words is "eight hundred fourteen million, one hundred fifty-three thousand, thirty-nine".

Divisors: 1 7 179 661 983 1253 4627 6881 118319 175957 649763 828233 1231699 4548341 116307577 814153039