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18804961 = 723271431
BaseRepresentation
bin100011110111…
…1000011100001
31022101101120001
41013233003201
514303224321
61511020001
7315560650
oct107570341
938341501
1018804961
11a68449a
12636a601
133b854c6
1426d7197
1519b6c91
hex11ef0e1

18804961 has 16 divisors (see below), whose sum is σ = 22560768. Its totient is φ = 15325200.

The previous prime is 18804959. The next prime is 18804967. The reversal of 18804961 is 16940881.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 18804961 - 21 = 18804959 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 18804961.

It is not an unprimeable number, because it can be changed into a prime (18804967) 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 15 ways as a sum of consecutive naturals, for example, 43416 + ... + 43846.

It is an arithmetic number, because the mean of its divisors is an integer number (1410048).

Almost surely, 218804961 is an apocalyptic number.

It is an amenable number.

18804961 is a deficient number, since it is larger than the sum of its proper divisors (3755807).

18804961 is a wasteful number, since it uses less digits than its factorization.

18804961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732.

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 18804961 is about 4336.4687246653. The cubic root of 18804961 is about 265.9239658689.

The spelling of 18804961 in words is "eighteen million, eight hundred four thousand, nine hundred sixty-one".

Divisors: 1 7 23 161 271 431 1897 3017 6233 9913 43631 69391 116801 817607 2686423 18804961