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3772803906 = 2362639839
BaseRepresentation
bin1110000011100000…
…0110101101000010
3100201221012022000000
43200320012231002
530211314211111
61422212140430
7162331206204
oct34070065502
910657168000
103772803906
111666716463
12893607716
13481834761
1427b0d2774
15171347c56
hexe0e06b42

3772803906 has 56 divisors (see below), whose sum is σ = 8518055040. Its totient is φ = 1252692216.

The previous prime is 3772803899. The next prime is 3772803949. The reversal of 3772803906 is 6093082773.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 378535 + ... + 388373.

Almost surely, 23772803906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3772803906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4259027520).

3772803906 is an abundant number, since it is smaller than the sum of its proper divisors (4745251134).

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

3772803906 is an equidigital number, since it uses as much as digits as its factorization.

3772803906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10122 (or 10107 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 3772803906 is about 61423.1544777700. The cubic root of 3772803906 is about 1556.7590926683.

The spelling of 3772803906 in words is "three billion, seven hundred seventy-two million, eight hundred three thousand, nine hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 263 486 526 729 789 1458 1578 2367 4734 7101 9839 14202 19678 21303 29517 42606 59034 63909 88551 127818 177102 191727 265653 383454 531306 796959 1593918 2390877 2587657 4781754 5175314 7172631 7762971 14345262 15525942 23288913 46577826 69866739 139733478 209600217 419200434 628800651 1257601302 1886401953 3772803906