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14428944 = 2432971033
BaseRepresentation
bin110111000010…
…101100010000
31000011001210100
4313002230100
512143211234
61233132400
7233433615
oct67025420
930131710
1014428944
118165752
1249ba100
132cb274a
141cb850c
151400399
hexdc2b10

14428944 has 60 divisors (see below), whose sum is σ = 40836796. Its totient is φ = 4755456.

The previous prime is 14428913. The next prime is 14428949. The reversal of 14428944 is 44982441.

It can be written as a sum of positive squares in 2 ways, for example, as 10969344 + 3459600 = 3312^2 + 1860^2 .

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 junction number, because it is equal to n+sod(n) for n = 14428899 and 14428908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14428949) 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, 13452 + ... + 14484.

Almost surely, 214428944 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 14428944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20418398).

14428944 is an abundant number, since it is smaller than the sum of its proper divisors (26407852).

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

14428944 is a wasteful number, since it uses less digits than its factorization.

14428944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1135 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 14428944 is about 3798.5449845961. The cubic root of 14428944 is about 243.4509737462.

The spelling of 14428944 in words is "fourteen million, four hundred twenty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 388 582 776 873 1033 1164 1552 1746 2066 2328 3099 3492 4132 4656 6198 6984 8264 9297 12396 13968 16528 18594 24792 37188 49584 74376 100201 148752 200402 300603 400804 601206 801608 901809 1202412 1603216 1803618 2404824 3607236 4809648 7214472 14428944