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966460881 = 3618363629
BaseRepresentation
bin111001100110110…
…000010111010001
32111100120022002110
4321212300113101
53434403222011
6235522335533
732643532131
oct7146602721
92440508073
10966460881
114565a6401
1222b7ba5a9
131252c6359
14924daac1
1559ca8ba6
hex399b05d1

966460881 has 16 divisors (see below), whose sum is σ = 1325540160. Its totient is φ = 626099520.

The previous prime is 966460871. The next prime is 966460889. The reversal of 966460881 is 188064669.

966460881 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 966460881 - 25 = 966460849 is a prime.

It is a super-2 number, since 2×9664608812 = 1868093269006592322, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 966460881.

It is not an unprimeable number, because it can be changed into a prime (966460889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16626 + ... + 47003.

It is an arithmetic number, because the mean of its divisors is an integer number (82846260).

Almost surely, 2966460881 is an apocalyptic number.

It is an amenable number.

966460881 is a deficient number, since it is larger than the sum of its proper divisors (359079279).

966460881 is a wasteful number, since it uses less digits than its factorization.

966460881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63776.

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 966460881 is about 31087.9539532598. The cubic root of 966460881 is about 988.6929256049.

The spelling of 966460881 in words is "nine hundred sixty-six million, four hundred sixty thousand, eight hundred eighty-one".

Divisors: 1 3 61 83 183 249 5063 15189 63629 190887 3881369 5281207 11644107 15843621 322153627 966460881