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393106903 = 7194368737
BaseRepresentation
bin10111011011100…
…101010111010111
31000101200220021221
4113123211113113
51301113410103
6103001351211
712512232160
oct2733452727
91011626257
10393106903
11191998042
12ab798507
1363599c47
143a2cc767
15247a11bd
hex176e55d7

393106903 has 16 divisors (see below), whose sum is σ = 483915520. Its totient is φ = 311786496.

The previous prime is 393106891. The next prime is 393106921. The reversal of 393106903 is 309601393.

It is a happy number.

It is not a de Polignac number, because 393106903 - 25 = 393106871 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 (393106933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28650 + ... + 40087.

It is an arithmetic number, because the mean of its divisors is an integer number (30244720).

Almost surely, 2393106903 is an apocalyptic number.

393106903 is a deficient number, since it is larger than the sum of its proper divisors (90808617).

393106903 is a wasteful number, since it uses less digits than its factorization.

393106903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68806.

The product of its (nonzero) digits is 13122, while the sum is 34.

The square root of 393106903 is about 19826.9236897709. The cubic root of 393106903 is about 732.5493545781.

The spelling of 393106903 in words is "three hundred ninety-three million, one hundred six thousand, nine hundred three".

Divisors: 1 7 19 43 133 301 817 5719 68737 481159 1306003 2955691 9142021 20689837 56158129 393106903