Search a number
-
+
5957388 = 2238227
BaseRepresentation
bin10110101110011100001100
3102012200000000
4112232130030
53011114023
6331404300
7101431323
oct26563414
912180000
105957388
1133a9968
121bb3690
1313077a8
14b110ba
157ca243
hex5ae70c

5957388 has 54 divisors (see below), whose sum is σ = 15706236. Its totient is φ = 1977048.

The previous prime is 5957387. The next prime is 5957389. The reversal of 5957388 is 8837595.

5957388 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5957387) and next prime (5957389).

It is a tau number, because it is divible by the number of its divisors (54).

It is not an unprimeable number, because it can be changed into a prime (5957387) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26131 + ... + 26357.

Almost surely, 25957388 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 5957388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7853118).

5957388 is an abundant number, since it is smaller than the sum of its proper divisors (9748848).

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

5957388 is an equidigital number, since it uses as much as digits as its factorization.

5957388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 232 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 5957388 is about 2440.7761060777. The cubic root of 5957388 is about 181.2808638682.

The spelling of 5957388 in words is "five million, nine hundred fifty-seven thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 227 243 324 454 486 681 729 908 972 1362 1458 2043 2187 2724 2916 4086 4374 6129 6561 8172 8748 12258 13122 18387 24516 26244 36774 55161 73548 110322 165483 220644 330966 496449 661932 992898 1489347 1985796 2978694 5957388