Search a number
-
+
3945816 = 233277829
BaseRepresentation
bin1111000011010101011000
321102110122100
433003111120
52002231231
6220323400
745352560
oct17032530
97373570
103945816
112255606
1213a3560
13a82004
14749da0
1552e1e6
hex3c3558

3945816 has 48 divisors (see below), whose sum is σ = 12214800. Its totient is φ = 1127232.

The previous prime is 3945803. The next prime is 3945841. The reversal of 3945816 is 6185493.

3945816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3411 + ... + 4418.

It is an arithmetic number, because the mean of its divisors is an integer number (254475).

Almost surely, 23945816 is an apocalyptic number.

3945816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3945816 is an abundant number, since it is smaller than the sum of its proper divisors (8268984).

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

3945816 is a wasteful number, since it uses less digits than its factorization.

3945816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7848 (or 7841 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 3945816 is about 1986.4078131139. The cubic root of 3945816 is about 158.0200796998.

It can be divided in two parts, 3945 and 816, that added together give a square (4761 = 692).

The spelling of 3945816 in words is "three million, nine hundred forty-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 7829 15658 23487 31316 46974 54803 62632 70461 93948 109606 140922 164409 187896 219212 281844 328818 438424 493227 563688 657636 986454 1315272 1972908 3945816