Search a number
-
+
6125742 = 232761797
BaseRepresentation
bin10111010111100010101110
3102112012221100
4113113202232
53032010432
6335143530
7103032210
oct27274256
912465840
106125742
1135043a7
122074ba6
1313662cc
14b565b0
1581007c
hex5d78ae

6125742 has 48 divisors (see below), whose sum is σ = 15436512. Its totient is φ = 1719360.

The previous prime is 6125741. The next prime is 6125747. The reversal of 6125742 is 2475216.

6125742 is a `hidden beast` number, since 612 + 5 + 7 + 42 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6125741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7288 + ... + 8084.

It is an arithmetic number, because the mean of its divisors is an integer number (321594).

Almost surely, 26125742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6125742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7718256).

6125742 is an abundant number, since it is smaller than the sum of its proper divisors (9310770).

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

6125742 is a wasteful number, since it uses less digits than its factorization.

6125742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 870 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 6125742 is about 2475.0236362508. The cubic root of 6125742 is about 182.9726735153.

The spelling of 6125742 in words is "six million, one hundred twenty-five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 122 126 183 366 427 549 797 854 1098 1281 1594 2391 2562 3843 4782 5579 7173 7686 11158 14346 16737 33474 48617 50211 97234 100422 145851 291702 340319 437553 680638 875106 1020957 2041914 3062871 6125742