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4444433424 = 243230864121
BaseRepresentation
bin1000010001110100…
…01010110000010000
3102110201222121111100
410020322022300100
533100233332144
62013003344400
7215065026564
oct41072126020
912421877440
104444433424
111980848682
12a40522100
1355aa1c782
143023a36a4
151b02b4269
hex108e8ac10

4444433424 has 30 divisors (see below), whose sum is σ = 12438241166. Its totient is φ = 1481477760.

The previous prime is 4444433407. The next prime is 4444433443. The reversal of 4444433424 is 4243344444.

It can be written as a sum of positive squares in only one way, i.e., 4137062400 + 307371024 = 64320^2 + 17532^2 .

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15431917 + ... + 15432204.

Almost surely, 24444433424 is an apocalyptic number.

It is an amenable number.

4444433424 is an abundant number, since it is smaller than the sum of its proper divisors (7993807742).

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

4444433424 is a wasteful number, since it uses less digits than its factorization.

4444433424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30864135 (or 30864126 counting only the distinct ones).

The product of its digits is 294912, while the sum is 36.

The square root of 4444433424 is about 66666.5840132821. The cubic root of 4444433424 is about 1644.1400239482.

Adding to 4444433424 its reverse (4243344444), we get a palindrome (8687777868).

The spelling of 4444433424 in words is "four billion, four hundred forty-four million, four hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 30864121 61728242 92592363 123456484 185184726 246912968 277777089 370369452 493825936 555554178 740738904 1111108356 1481477808 2222216712 4444433424