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3887352 = 23347857
BaseRepresentation
bin1110110101000011111000
321022111110000
432311003320
51443343402
6215153000
745020250
oct16650370
97274400
103887352
112215697
121375760
13a61511
14732960
1551bc1c
hex3b50f8

3887352 has 80 divisors (see below), whose sum is σ = 12458160. Its totient is φ = 1109376.

The previous prime is 3887311. The next prime is 3887357. The reversal of 3887352 is 2537883.

It is a super-2 number, since 2×38873522 = 30223011143808, which contains 22 as substring.

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 (3887357) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4108 + ... + 4964.

It is an arithmetic number, because the mean of its divisors is an integer number (155727).

Almost surely, 23887352 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 3887352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6229080).

3887352 is an abundant number, since it is smaller than the sum of its proper divisors (8570808).

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

3887352 is a wasteful number, since it uses less digits than its factorization.

3887352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 869 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 3887352 is about 1971.6368834042. The cubic root of 3887352 is about 157.2357473625.

The spelling of 3887352 in words is "three million, eight hundred eighty-seven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 857 1134 1512 1714 2268 2571 3428 4536 5142 5999 6856 7713 10284 11998 15426 17997 20568 23139 23996 30852 35994 46278 47992 53991 61704 69417 71988 92556 107982 138834 143976 161973 185112 215964 277668 323946 431928 485919 555336 647892 971838 1295784 1943676 3887352