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3966464 = 2961127
BaseRepresentation
bin1111001000011000000000
321110111222002
433020120000
52003411324
6221003132
745500015
oct17103000
97414862
103966464
11226a077
1213b34a8
13a8b528
1475370c
155353ae
hex3c8600

3966464 has 40 divisors (see below), whose sum is σ = 8118528. Its totient is φ = 1935360.

The previous prime is 3966439. The next prime is 3966503. The reversal of 3966464 is 4646693.

It is a happy number.

3966464 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31169 + ... + 31295.

Almost surely, 23966464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3966464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4059264).

3966464 is an abundant number, since it is smaller than the sum of its proper divisors (4152064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3966464 is an equidigital number, since it uses as much as digits as its factorization.

3966464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 190 counting only the distinct ones).

The product of its digits is 93312, while the sum is 38.

The square root of 3966464 is about 1991.5983530823. The cubic root of 3966464 is about 158.2952339231.

The spelling of 3966464 in words is "three million, nine hundred sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 61 64 122 127 128 244 254 256 488 508 512 976 1016 1952 2032 3904 4064 7747 7808 8128 15494 15616 16256 30988 31232 32512 61976 65024 123952 247904 495808 991616 1983232 3966464