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3966942 = 2372103131
BaseRepresentation
bin1111001000011111011110
321110112121210
433020133132
52003420232
6221005250
745501300
oct17103736
97415553
103966942
11226a471
1213b3826
13a8b805
14753970
155355cc
hex3c87de

3966942 has 48 divisors (see below), whose sum is σ = 9389952. Its totient is φ = 1113840.

The previous prime is 3966929. The next prime is 3966961. The reversal of 3966942 is 2496693.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3966942.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30217 + ... + 30347.

It is an arithmetic number, because the mean of its divisors is an integer number (195624).

Almost surely, 23966942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3966942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4694976).

3966942 is an abundant number, since it is smaller than the sum of its proper divisors (5423010).

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

3966942 is a wasteful number, since it uses less digits than its factorization.

3966942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 246 counting only the distinct ones).

The product of its digits is 69984, while the sum is 39.

The square root of 3966942 is about 1991.7183535832. The cubic root of 3966942 is about 158.3015924062.

The spelling of 3966942 in words is "three million, nine hundred sixty-six thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 103 131 147 206 262 294 309 393 618 721 786 917 1442 1834 2163 2751 4326 5047 5502 6419 10094 12838 13493 15141 19257 26986 30282 38514 40479 80958 94451 188902 283353 566706 661157 1322314 1983471 3966942