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424944 = 243213227
BaseRepresentation
bin1100111101111110000
3210120220200
41213233300
5102044234
613035200
73416622
oct1475760
9716820
10424944
112702a3
12185b00
1311b560
14b0c12
1585d99
hex67bf0

424944 has 60 divisors (see below), whose sum is σ = 1286376. Its totient is φ = 130176.

The previous prime is 424939. The next prime is 424961. The reversal of 424944 is 449424.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 424944.

It is an unprimeable number.

424944 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1759 + ... + 1985.

2424944 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 424944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643188).

424944 is an abundant number, since it is smaller than the sum of its proper divisors (861432).

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

424944 is a wasteful number, since it uses less digits than its factorization.

424944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 245 counting only the distinct ones).

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

The square root of 424944 is about 651.8772890660. The cubic root of 424944 is about 75.1814274339.

The spelling of 424944 in words is "four hundred twenty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 227 234 312 454 468 624 681 908 936 1362 1816 1872 2043 2724 2951 3632 4086 5448 5902 8172 8853 10896 11804 16344 17706 23608 26559 32688 35412 47216 53118 70824 106236 141648 212472 424944