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3809372112 = 24337213109127
BaseRepresentation
bin1110001100001110…
…0110011111010000
3100211111000011011000
43203003212133100
530300144401422
61430000022000
7163254062100
oct34303463720
910744004130
103809372112
111685322717
128a3901900
13489299250
14281cd1200
1517466ccac
hexe30e67d0

3809372112 has 480 divisors, whose sum is σ = 13932441600. Its totient is φ = 987614208.

The previous prime is 3809372093. The next prime is 3809372113. The reversal of 3809372112 is 2112739083.

3809372112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38093721122 = 29022631775366681088, which contains 22 as substring.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3809372113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29994993 + ... + 29995119.

It is an arithmetic number, because the mean of its divisors is an integer number (29025920).

Almost surely, 23809372112 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 3809372112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6966220800).

3809372112 is an abundant number, since it is smaller than the sum of its proper divisors (10123069488).

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

3809372112 is a wasteful number, since it uses less digits than its factorization.

3809372112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 3809372112 is about 61720.1110822072. Note that the first 3 decimals coincide. The cubic root of 3809372112 is about 1561.7726004471.

The spelling of 3809372112 in words is "three billion, eight hundred nine million, three hundred seventy-two thousand, one hundred twelve".