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6442830 = 2325174211
BaseRepresentation
bin11000100100111101001110
3110010022220100
4120210331032
53122132310
6350031530
7105522522
oct30447516
913108810
106442830
113700659
1221a85a6
131447734
14bd9d82
15873ec0
hex624f4e

6442830 has 48 divisors (see below), whose sum is σ = 17740944. Its totient is φ = 1616640.

The previous prime is 6442817. The next prime is 6442831. The reversal of 6442830 is 382446.

6442830 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 6442794 and 6442803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6442831) 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, 576 + ... + 3635.

It is an arithmetic number, because the mean of its divisors is an integer number (369603).

Almost surely, 26442830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6442830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8870472).

6442830 is an abundant number, since it is smaller than the sum of its proper divisors (11298114).

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

6442830 is a wasteful number, since it uses less digits than its factorization.

6442830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4241 (or 4238 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 6442830 is about 2538.2730349590. The cubic root of 6442830 is about 186.0767979776.

The spelling of 6442830 in words is "six million, four hundred forty-two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 4211 8422 12633 21055 25266 37899 42110 63165 71587 75798 126330 143174 189495 214761 357935 378990 429522 644283 715870 1073805 1288566 2147610 3221415 6442830