Search a number
-
+
5957325 = 3252112983
BaseRepresentation
bin10110101110011011001101
3102012122220200
4112232123031
53011113300
6331404113
7101431203
oct26563315
912178820
105957325
1133a9910
121bb3639
13130775a
14b11073
157ca200
hex5ae6cd

5957325 has 72 divisors (see below), whose sum is σ = 12186720. Its totient is φ = 2755200.

The previous prime is 5957309. The next prime is 5957339. The reversal of 5957325 is 5237595.

It is not a de Polignac number, because 5957325 - 24 = 5957309 is a prime.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5957325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71734 + ... + 71816.

It is an arithmetic number, because the mean of its divisors is an integer number (169260).

Almost surely, 25957325 is an apocalyptic number.

5957325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5957325 is the 1305-th nonagonal number.

It is an amenable number.

5957325 is an abundant number, since it is smaller than the sum of its proper divisors (6229395).

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

5957325 is a wasteful number, since it uses less digits than its factorization.

5957325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 131 counting only the distinct ones).

The product of its digits is 47250, while the sum is 36.

The square root of 5957325 is about 2440.7632003126. The cubic root of 5957325 is about 181.2802248445.

The spelling of 5957325 in words is "five million, nine hundred fifty-seven thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 29 33 45 55 75 83 87 99 145 165 225 249 261 275 319 415 435 495 725 747 825 913 957 1245 1305 1595 2075 2175 2407 2475 2739 2871 3735 4565 4785 6225 6525 7221 7975 8217 12035 13695 14355 18675 21663 22825 23925 26477 36105 41085 60175 68475 71775 79431 108315 132385 180525 205425 238293 397155 541575 661925 1191465 1985775 5957325