Search a number
-
+
44392438272 = 293721359769
BaseRepresentation
bin101001010101111111…
…101101101000000000
311020120210012112001110
4221111333231220000
51211403431011042
632221004003320
73131041333200
oct512577555000
9136523175043
1044392438272
1117910412a16
12872ab30540
134256098770
142211ab8400
15124c42a09c
hexa55feda00

44392438272 has 480 divisors, whose sum is σ = 150862219200. Its totient is φ = 11494490112.

The previous prime is 44392438271. The next prime is 44392438297. The reversal of 44392438272 is 27283429344.

44392438272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44392438271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57727104 + ... + 57727872.

It is an arithmetic number, because the mean of its divisors is an integer number (314296290).

Almost surely, 244392438272 is an apocalyptic number.

44392438272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44392438272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75431109600).

44392438272 is an abundant number, since it is smaller than the sum of its proper divisors (106469780928).

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

44392438272 is a wasteful number, since it uses less digits than its factorization.

44392438272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 853 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 48.

The spelling of 44392438272 in words is "forty-four billion, three hundred ninety-two million, four hundred thirty-eight thousand, two hundred seventy-two".