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4442312432 = 241733748463
BaseRepresentation
bin1000010001100100…
…00100111011110000
3102110120222212001002
410020302010323300
533044212444212
62012450101132
7215041014125
oct41062047360
912416885032
104442312432
11197a62a098
12a3b87a7a8
1355a45924c
14301db074c
151aeee5ac2
hex108c84ef0

4442312432 has 40 divisors (see below), whose sum is σ = 9140504256. Its totient is φ = 2084253696.

The previous prime is 4442312419. The next prime is 4442312443. The reversal of 4442312432 is 2342132444.

It is a junction number, because it is equal to n+sod(n) for n = 4442312395 and 4442312404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67433 + ... + 115895.

Almost surely, 24442312432 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 4442312432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4570252128).

4442312432 is an abundant number, since it is smaller than the sum of its proper divisors (4698191824).

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

4442312432 is a wasteful number, since it uses less digits than its factorization.

4442312432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48825 (or 48819 counting only the distinct ones).

The product of its digits is 18432, while the sum is 29.

The square root of 4442312432 is about 66650.6746552501. The cubic root of 4442312432 is about 1643.8784410962.

Adding to 4442312432 its reverse (2342132444), we get a palindrome (6784444876).

The spelling of 4442312432 in words is "four billion, four hundred forty-two million, three hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 337 674 1348 2696 5392 5729 11458 22916 45832 48463 91664 96926 193852 387704 775408 823871 1647742 3295484 6590968 13181936 16332031 32664062 65328124 130656248 261312496 277644527 555289054 1110578108 2221156216 4442312432