Search a number
-
+
5957296 = 242937347
BaseRepresentation
bin10110101110011010110000
3102012122212121
4112232122300
53011113141
6331404024
7101431132
oct26563260
912178777
105957296
1133a9894
121bb3614
131307737
14b11052
157ca1d1
hex5ae6b0

5957296 has 40 divisors (see below), whose sum is σ = 12298320. Its totient is φ = 2790144.

The previous prime is 5957291. The next prime is 5957309. The reversal of 5957296 is 6927595.

It is a happy number.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5957291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16995 + ... + 17341.

It is an arithmetic number, because the mean of its divisors is an integer number (307458).

Almost surely, 25957296 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 5957296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6149160).

5957296 is an abundant number, since it is smaller than the sum of its proper divisors (6341024).

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

5957296 is a wasteful number, since it uses less digits than its factorization.

5957296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 415 counting only the distinct ones).

The product of its digits is 170100, while the sum is 43.

The square root of 5957296 is about 2440.7572595406. The cubic root of 5957296 is about 181.2799306893.

Subtracting 5957296 from its reverse (6927595), we obtain a cube (970299 = 993).

The spelling of 5957296 in words is "five million, nine hundred fifty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 29 37 58 74 116 148 232 296 347 464 592 694 1073 1388 2146 2776 4292 5552 8584 10063 12839 17168 20126 25678 40252 51356 80504 102712 161008 205424 372331 744662 1489324 2978648 5957296