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3783942 = 23379887
BaseRepresentation
bin1110011011110100000110
321010020121000
432123310012
51432041232
6213034130
744106621
oct16336406
97106530
103783942
112154a28
121325946
13a26426
14706db8
154eb27c
hex39bd06

3783942 has 32 divisors (see below), whose sum is σ = 8524800. Its totient is φ = 1243944.

The previous prime is 3783929. The next prime is 3783943. The reversal of 3783942 is 2493873.

It is a d-powerful number, because it can be written as 35 + 73 + 85 + 313 + 95 + 43 + 221 .

It is a junction number, because it is equal to n+sod(n) for n = 3783897 and 3783906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3783943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3823 + ... + 4709.

It is an arithmetic number, because the mean of its divisors is an integer number (266400).

Almost surely, 23783942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3783942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4262400).

3783942 is an abundant number, since it is smaller than the sum of its proper divisors (4740858).

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

3783942 is a wasteful number, since it uses less digits than its factorization.

3783942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 971 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 3783942 is about 1945.2357183642. The cubic root of 3783942 is about 155.8289545384.

The spelling of 3783942 in words is "three million, seven hundred eighty-three thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 79 158 237 474 711 887 1422 1774 2133 2661 4266 5322 7983 15966 23949 47898 70073 140146 210219 420438 630657 1261314 1891971 3783942