Search a number
-
+
966046831 = 311132111307
BaseRepresentation
bin111001100101001…
…011010001101111
32111022210021010021
4321211023101233
53434301444311
6235505423011
732640156031
oct7145132157
92438707107
10966046831
11456343312
1222b63aa67
131251aca59
149242dc51
1559c26171
hex3994b46f

966046831 has 16 divisors (see below), whose sum is σ = 1011575808. Its totient is φ = 921513600.

The previous prime is 966046817. The next prime is 966046859. The reversal of 966046831 is 138640669.

It is a cyclic number.

It is not a de Polignac number, because 966046831 - 27 = 966046703 is a prime.

It is a super-2 number, since 2×9660468312 = 1866492959370285122, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966046031) 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 15 ways as a sum of consecutive naturals, for example, 738480 + ... + 739786.

It is an arithmetic number, because the mean of its divisors is an integer number (63223488).

Almost surely, 2966046831 is an apocalyptic number.

966046831 is a deficient number, since it is larger than the sum of its proper divisors (45528977).

966046831 is a wasteful number, since it uses less digits than its factorization.

966046831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662.

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 966046831 is about 31081.2939080727. The cubic root of 966046831 is about 988.5517138951.

The spelling of 966046831 in words is "nine hundred sixty-six million, forty-six thousand, eight hundred thirty-one".

Divisors: 1 31 113 211 1307 3503 6541 23843 40517 147691 275777 739133 4578421 8549087 31162801 966046831