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3887442 = 2321337449
BaseRepresentation
bin1110110101000101010010
321022111120100
432311011102
51443344232
6215153230
745020436
oct16650522
97274510
103887442
112215769
121375816
13a61580
147329c6
1551bc7c
hex3b5152

3887442 has 48 divisors (see below), whose sum is σ = 9336600. Its totient is φ = 1161216.

The previous prime is 3887399. The next prime is 3887449. The reversal of 3887442 is 2447883.

3887442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3538161 + 349281 = 1881^2 + 591^2 .

It is a super-2 number, since 2×38874422 = 30224410606728, 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 junction number, because it is equal to n+sod(n) for n = 3887397 and 3887406.

It is not an unprimeable number, because it can be changed into a prime (3887449) 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 23 ways as a sum of consecutive naturals, for example, 8434 + ... + 8882.

Almost surely, 23887442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3887442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4668300).

3887442 is an abundant number, since it is smaller than the sum of its proper divisors (5449158).

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

3887442 is a wasteful number, since it uses less digits than its factorization.

3887442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 504 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 3887442 is about 1971.6597069474. The cubic root of 3887442 is about 157.2369607942.

The spelling of 3887442 in words is "three million, eight hundred eighty-seven thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 222 234 333 449 481 666 898 962 1347 1443 2694 2886 4041 4329 5837 8082 8658 11674 16613 17511 33226 35022 49839 52533 99678 105066 149517 215969 299034 431938 647907 1295814 1943721 3887442