Search a number
-
+
3899168 = 257132103
BaseRepresentation
bin1110110111111100100000
321100002122122
432313330200
51444233133
6215323412
745066560
oct16677440
97302578
103899168
112223559
121380568
13a66a00
14736da0
15520498
hex3b7f20

3899168 has 72 divisors (see below), whose sum is σ = 9592128. Its totient is φ = 1527552.

The previous prime is 3899153. The next prime is 3899173. The reversal of 3899168 is 8619983.

It is a super-2 number, since 2×38991682 = 30407022184448, which contains 22 as substring.

It is a plaindrome in base 11.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37805 + ... + 37907.

It is an arithmetic number, because the mean of its divisors is an integer number (133224).

Almost surely, 23899168 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 3899168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4796064).

3899168 is an abundant number, since it is smaller than the sum of its proper divisors (5692960).

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

3899168 is a wasteful number, since it uses less digits than its factorization.

3899168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its digits is 93312, while the sum is 44.

The square root of 3899168 is about 1974.6311047889. The cubic root of 3899168 is about 157.3948975450.

The spelling of 3899168 in words is "three million, eight hundred ninety-nine thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 103 104 112 169 182 206 208 224 338 364 412 416 676 721 728 824 1183 1339 1352 1442 1456 1648 2366 2678 2704 2884 2912 3296 4732 5356 5408 5768 9373 9464 10712 11536 17407 18746 18928 21424 23072 34814 37492 37856 42848 69628 74984 121849 139256 149968 243698 278512 299936 487396 557024 974792 1949584 3899168