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982424289 = 37112386629
BaseRepresentation
bin111010100011101…
…001101011100001
32112110121022202210
4322203221223201
54003000034124
6241252432333
733226316520
oct7243515341
92473538683
10982424289
11464609a00
122350186a9
131286c5362
14946944b7
155b3ada29
hex3a8e9ae1

982424289 has 24 divisors (see below), whose sum is σ = 1645497280. Its totient is φ = 510348960.

The previous prime is 982424263. The next prime is 982424293.

982424289 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 982424289 - 212 = 982420193 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (982424249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190774 + ... + 195855.

Almost surely, 2982424289 is an apocalyptic number.

It is an amenable number.

982424289 is a deficient number, since it is larger than the sum of its proper divisors (663072991).

982424289 is a wasteful number, since it uses less digits than its factorization.

982424289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386661 (or 386650 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 982424289 is about 31343.6483039228. The cubic root of 982424289 is about 994.1067677041.

The spelling of 982424289 in words is "nine hundred eighty-two million, four hundred twenty-four thousand, two hundred eighty-nine".

Divisors: 1 3 7 11 21 33 77 121 231 363 847 2541 386629 1159887 2706403 4252919 8119209 12758757 29770433 46782109 89311299 140346327 327474763 982424289