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3897296 = 241341457
BaseRepresentation
bin1110110111011111010000
321100000002022
432313133100
51444203141
6215311012
745061244
oct16673720
97300068
103897296
112222107
12137b468
13a65bc0
14736424
1551eb4b
hex3b77d0

3897296 has 40 divisors (see below), whose sum is σ = 8348424. Its totient is φ = 1751040.

The previous prime is 3897269. The next prime is 3897331. The reversal of 3897296 is 6927983.

It can be written as a sum of positive squares in 4 ways, for example, as 55696 + 3841600 = 236^2 + 1960^2 .

It is a super-2 number, since 2×38972962 = 30377832223232, which contains 22 as substring.

It is a d-powerful number, because it can be written as 33 + 87 + 95 + 74 + 2 + 95 + 68 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8300 + ... + 8756.

Almost surely, 23897296 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 3897296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4174212).

3897296 is an abundant number, since it is smaller than the sum of its proper divisors (4451128).

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

3897296 is a wasteful number, since it uses less digits than its factorization.

3897296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 513 counting only the distinct ones).

The product of its digits is 163296, while the sum is 44.

The square root of 3897296 is about 1974.1570352938. The cubic root of 3897296 is about 157.3697049557.

The spelling of 3897296 in words is "three million, eight hundred ninety-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 328 457 533 656 914 1066 1828 2132 3656 4264 5941 7312 8528 11882 18737 23764 37474 47528 74948 95056 149896 243581 299792 487162 974324 1948648 3897296