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981404189 = 7382916217
BaseRepresentation
bin111010011111110…
…000101000011101
32112101200111110022
4322133300220131
54002214413224
6241214521525
733214540463
oct7237605035
92471614408
10981404189
11463a82547
122348062a5
13128428c4c
14944aa833
155b25b65e
hex3a7f0a1d

981404189 has 8 divisors (see below), whose sum is σ = 996109560. Its totient is φ = 966733056.

The previous prime is 981404183. The next prime is 981404191.

981404189 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 338376025 + 643028164 = 18395^2 + 25358^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 981404189 - 212 = 981400093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981404183) 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 7 ways as a sum of consecutive naturals, for example, 52409 + ... + 68625.

It is an arithmetic number, because the mean of its divisors is an integer number (124513695).

Almost surely, 2981404189 is an apocalyptic number.

It is an amenable number.

981404189 is a deficient number, since it is larger than the sum of its proper divisors (14705371).

981404189 is a wasteful number, since it uses less digits than its factorization.

981404189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17119.

The product of its (nonzero) digits is 82944, while the sum is 44.

The square root of 981404189 is about 31327.3712430520. The cubic root of 981404189 is about 993.7625717118.

The spelling of 981404189 in words is "nine hundred eighty-one million, four hundred four thousand, one hundred eighty-nine".

Divisors: 1 73 829 16217 60517 1183841 13443893 981404189