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4778406 = 233107827
BaseRepresentation
bin10010001110100110100110
322222202202000
4102032212212
52210402111
6250230130
755421133
oct22164646
98882660
104778406
1127740a6
121725346
13cb3c79
148c558a
15645c56
hex48e9a6

4778406 has 32 divisors (see below), whose sum is σ = 10730880. Its totient is φ = 1576008.

The previous prime is 4778399. The next prime is 4778407. The reversal of 4778406 is 6048774.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4778407) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5365 + ... + 6191.

It is an arithmetic number, because the mean of its divisors is an integer number (335340).

Almost surely, 24778406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4778406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5365440).

4778406 is an abundant number, since it is smaller than the sum of its proper divisors (5952474).

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

4778406 is a wasteful number, since it uses less digits than its factorization.

4778406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4778406 is about 2185.9565411966. The cubic root of 4778406 is about 168.4331932620.

It can be divided in two parts, 4778 and 406, that added together give a square (5184 = 722).

The spelling of 4778406 in words is "four million, seven hundred seventy-eight thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 54 107 214 321 642 827 963 1654 1926 2481 2889 4962 5778 7443 14886 22329 44658 88489 176978 265467 530934 796401 1592802 2389203 4778406