Search a number
-
+
4444591272 = 23311293161307
BaseRepresentation
bin1000010001110101…
…10001010010101000
3102110202021122000120
410020322301102220
533100303410042
62013011003240
7215066255022
oct41072612250
912422248016
104444591272
111980946230
12a40599520
1355aa76584
14302405012
151b02e5dec
hex108eb14a8

4444591272 has 256 divisors, whose sum is σ = 13199155200. Its totient is φ = 1233792000.

The previous prime is 4444591247. The next prime is 4444591309. The reversal of 4444591272 is 2721954444.

Its product of digits (322560) is a multiple of the sum of its prime factors (448).

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 63 ways as a sum of consecutive naturals, for example, 14477343 + ... + 14477649.

It is an arithmetic number, because the mean of its divisors is an integer number (51559200).

Almost surely, 24444591272 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 4444591272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6599577600).

4444591272 is an abundant number, since it is smaller than the sum of its proper divisors (8754563928).

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

4444591272 is a wasteful number, since it uses less digits than its factorization.

4444591272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 444 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 4444591272 is about 66667.7678642386. The cubic root of 4444591272 is about 1644.1594880821.

The spelling of 4444591272 in words is "four billion, four hundred forty-four million, five hundred ninety-one thousand, two hundred seventy-two".