Search a number
-
+
6442992 = 2432101443
BaseRepresentation
bin11000100100111111110000
3110010100010100
4120210333300
53122133432
6350032400
7105523143
oct30447760
913110110
106442992
113700796
1221a8700
13144782a
14bda05a
1587407c
hex624ff0

6442992 has 60 divisors (see below), whose sum is σ = 18251064. Its totient is φ = 2121600.

The previous prime is 6442981. The next prime is 6442993. The reversal of 6442992 is 2992446.

6442992 is a `hidden beast` number, since 644 + 2 + 9 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6442993) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14323 + ... + 14765.

Almost surely, 26442992 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 6442992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9125532).

6442992 is an abundant number, since it is smaller than the sum of its proper divisors (11808072).

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

6442992 is a wasteful number, since it uses less digits than its factorization.

6442992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 549 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 6442992 is about 2538.3049462190. The cubic root of 6442992 is about 186.0783575505.

The spelling of 6442992 in words is "six million, four hundred forty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 443 606 808 886 909 1212 1329 1616 1772 1818 2424 2658 3544 3636 3987 4848 5316 7088 7272 7974 10632 14544 15948 21264 31896 44743 63792 89486 134229 178972 268458 357944 402687 536916 715888 805374 1073832 1610748 2147664 3221496 6442992