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3864816 = 243226839
BaseRepresentation
bin1110101111100011110000
321021100112100
432233203300
51442133231
6214500400
744564454
oct16574360
97240470
103864816
1121aa76a
121364700
13a54197
14728664
155151e6
hex3af8f0

3864816 has 30 divisors (see below), whose sum is σ = 10816520. Its totient is φ = 1288224.

The previous prime is 3864811. The next prime is 3864821. The reversal of 3864816 is 6184683.

It is a happy number.

3864816 is a `hidden beast` number, since 3 + 8 + 648 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3864811) and next prime (3864821).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3864811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13276 + ... + 13563.

Almost surely, 23864816 is an apocalyptic number.

3864816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3864816 is an abundant number, since it is smaller than the sum of its proper divisors (6951704).

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

3864816 is a wasteful number, since it uses less digits than its factorization.

3864816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26853 (or 26844 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 3864816 is about 1965.9135281085. The cubic root of 3864816 is about 156.9313126722.

The spelling of 3864816 in words is "three million, eight hundred sixty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 26839 53678 80517 107356 161034 214712 241551 322068 429424 483102 644136 966204 1288272 1932408 3864816