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6441144 = 233349769
BaseRepresentation
bin11000100100100010111000
3110010020120220
4120210202320
53122104034
6350020040
7105514563
oct30444270
913106526
106441144
1136aa366
1221a7620
131446a38
14bd94da
15873749
hex6248b8

6441144 has 32 divisors (see below), whose sum is σ = 16170000. Its totient is φ = 2138112.

The previous prime is 6441131. The next prime is 6441157. The reversal of 6441144 is 4411446.

6441144 is digitally balanced in base 5, 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 (6441131) and next prime (6441157).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7992 + ... + 8760.

Almost surely, 26441144 is an apocalyptic number.

It is an amenable number.

6441144 is an abundant number, since it is smaller than the sum of its proper divisors (9728856).

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

6441144 is a wasteful number, since it uses less digits than its factorization.

6441144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1123 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 6441144 is about 2537.9408976570. The cubic root of 6441144 is about 186.0605653153.

The spelling of 6441144 in words is "six million, four hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 349 698 769 1047 1396 1538 2094 2307 2792 3076 4188 4614 6152 8376 9228 18456 268381 536762 805143 1073524 1610286 2147048 3220572 6441144