Search a number
-
+
6297152 = 26611613
BaseRepresentation
bin11000000001011001000000
3102211221001212
4120001121000
53103002102
6342545252
7104345021
oct30013100
912757055
106297152
113611164
122138228
1313c6334
14b9cc48
15845c52
hex601640

6297152 has 28 divisors (see below), whose sum is σ = 12708636. Its totient is φ = 3095040.

The previous prime is 6297133. The next prime is 6297163. The reversal of 6297152 is 2517926.

It can be written as a sum of positive squares in 2 ways, for example, as 1700416 + 4596736 = 1304^2 + 2144^2 .

It is a super-2 number, since 2×62971522 = 79308246622208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 63 + 22 + 96 + 78 + 1 + 54 + 26 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3098 + ... + 4710.

Almost surely, 26297152 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 6297152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6354318).

6297152 is an abundant number, since it is smaller than the sum of its proper divisors (6411484).

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

6297152 is a wasteful number, since it uses less digits than its factorization.

6297152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1676 counting only the distinct ones).

The product of its digits is 7560, while the sum is 32.

The square root of 6297152 is about 2509.4126802900. The cubic root of 6297152 is about 184.6636400923.

The spelling of 6297152 in words is "six million, two hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 976 1613 1952 3226 3904 6452 12904 25808 51616 98393 103232 196786 393572 787144 1574288 3148576 6297152