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906536973 = 32313138217
BaseRepresentation
bin110110000010001…
…010100000001101
32100011210211221110
4312002022200031
53324033140343
6225542122233
731315302636
oct6602124015
92304724843
10906536973
11425797711
12213720379
13115a74c14
148857c88d
15548bd833
hex3608a80d

906536973 has 8 divisors (see below), whose sum is σ = 1261268928. Its totient is φ = 578081504.

The previous prime is 906536941. The next prime is 906536989. The reversal of 906536973 is 379635609.

It is a happy number.

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 906536973 - 25 = 906536941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906536273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6569040 + ... + 6569177.

It is an arithmetic number, because the mean of its divisors is an integer number (157658616).

Almost surely, 2906536973 is an apocalyptic number.

It is an amenable number.

906536973 is a deficient number, since it is larger than the sum of its proper divisors (354731955).

906536973 is a wasteful number, since it uses less digits than its factorization.

906536973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13138243.

The product of its (nonzero) digits is 918540, while the sum is 48.

The square root of 906536973 is about 30108.7524318096. The cubic root of 906536973 is about 967.8212953156.

The spelling of 906536973 in words is "nine hundred six million, five hundred thirty-six thousand, nine hundred seventy-three".

Divisors: 1 3 23 69 13138217 39414651 302178991 906536973