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8982009 = 38372
BaseRepresentation
bin100010010000…
…110111111001
3121220100000000
4202100313321
54244411014
6520303213
7136226421
oct42206771
917810000
108982009
115085353
123011b09
131b263ca
14129b481
15bc6509
hex890df9

8982009 has 27 divisors (see below), whose sum is σ = 13846287. Its totient is φ = 5826168.

The previous prime is 8982007. The next prime is 8982013. The reversal of 8982009 is 9002898.

The square root of 8982009 is 2997.

It is a perfect power (a square), and thus also a powerful number.

8982009 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8037225 + 944784 = 2835^2 + 972^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 8982009 - 21 = 8982007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8982007) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 242739 + ... + 242775.

Almost surely, 28982009 is an apocalyptic number.

8982009 is the 2997-th square number.

8982009 is the 1499-th centered octagonal number.

It is an amenable number.

8982009 is a deficient number, since it is larger than the sum of its proper divisors (4864278).

8982009 is an frugal number, since it uses more digits than its factorization.

8982009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The cubic root of 8982009 is about 207.8696869280.

Multiplying 8982009 by its sum of digits (36), we get a square (323352324 = 179822).

The spelling of 8982009 in words is "eight million, nine hundred eighty-two thousand, nine".

Divisors: 1 3 9 27 37 81 111 243 333 729 999 1369 2187 2997 4107 6561 8991 12321 26973 36963 80919 110889 242757 332667 998001 2994003 8982009