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982444401 = 32526120749
BaseRepresentation
bin111010100011101…
…110100101110001
32112110122100100200
4322203232211301
54003001210101
6241253105413
733226432251
oct7243564561
92473570320
10982444401
11464623024
12235028269
13128701563
149469b961
155b3b4986
hex3a8ee971

982444401 has 12 divisors (see below), whose sum is σ = 1419424500. Its totient is φ = 654806880.

The previous prime is 982444391. The next prime is 982444403. The reversal of 982444401 is 104444289.

982444401 is a `hidden beast` number, since 9 + 8 + 244 + 4 + 401 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 316804401 + 665640000 = 17799^2 + 25800^2 .

It is not a de Polignac number, because 982444401 - 25 = 982444369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (982444403) 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 11 ways as a sum of consecutive naturals, for example, 36975 + ... + 57723.

It is an arithmetic number, because the mean of its divisors is an integer number (118285375).

Almost surely, 2982444401 is an apocalyptic number.

It is an amenable number.

982444401 is a deficient number, since it is larger than the sum of its proper divisors (436980099).

982444401 is a wasteful number, since it uses less digits than its factorization.

982444401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26016 (or 26013 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 982444401 is about 31343.9691328332. The cubic root of 982444401 is about 994.1135513783.

The spelling of 982444401 in words is "nine hundred eighty-two million, four hundred forty-four thousand, four hundred one".

Divisors: 1 3 9 5261 15783 20749 47349 62247 186741 109160489 327481467 982444401