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444675024 = 24323088021
BaseRepresentation
bin11010100000010…
…011001111010000
31010222201211110100
4122200103033100
51402314100044
6112042532400
714006450433
oct3240231720
91128654410
10444675024
11209009a22
12104b07100
1371184021
14430b381a
152908a869
hex1a8133d0

444675024 has 30 divisors (see below), whose sum is σ = 1244472866. Its totient is φ = 148224960.

The previous prime is 444675017. The next prime is 444675029. The reversal of 444675024 is 420576444.

It can be written as a sum of positive squares in only one way, i.e., 375119424 + 69555600 = 19368^2 + 8340^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 444675024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444675029) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1543867 + ... + 1544154.

Almost surely, 2444675024 is an apocalyptic number.

It is an amenable number.

444675024 is an abundant number, since it is smaller than the sum of its proper divisors (799797842).

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

444675024 is a wasteful number, since it uses less digits than its factorization.

444675024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3088035 (or 3088026 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 444675024 is about 21087.3190330113. The cubic root of 444675024 is about 763.2747794033.

The spelling of 444675024 in words is "four hundred forty-four million, six hundred seventy-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3088021 6176042 9264063 12352084 18528126 24704168 27792189 37056252 49408336 55584378 74112504 111168756 148225008 222337512 444675024