Search a number
-
+
44029440 = 293357213
BaseRepresentation
bin1010011111110…
…1011000000000
310001211221001000
42213331120000
542232420230
64211412000
71043146500
oct247753000
9101757030
1044029440
1122942a74
12128b4000
139177930
145bc1a00
153ceab60
hex29fd600

44029440 has 480 divisors, whose sum is σ = 195924960. Its totient is φ = 9289728.

The previous prime is 44029421. The next prime is 44029451. The reversal of 44029440 is 4492044.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3386874 + ... + 3386886.

It is an arithmetic number, because the mean of its divisors is an integer number (408177).

Almost surely, 244029440 is an apocalyptic number.

44029440 is a gapful number since it is divisible by the number (40) 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 44029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97962480).

44029440 is an abundant number, since it is smaller than the sum of its proper divisors (151895520).

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

44029440 is a wasteful number, since it uses less digits than its factorization.

44029440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 44029440 is about 6635.4683331322. The cubic root of 44029440 is about 353.1135534442.

The spelling of 44029440 in words is "forty-four million, twenty-nine thousand, four hundred forty".