Search a number
-
+
44725482256 = 2474132832
BaseRepresentation
bin101001101001110110…
…001011001100010000
311021102222212220111211
4221221312023030100
51213044210413011
632314022145504
73142224220000
oct515166131420
9137388786454
1044725482256
1117a71406884
128802582294
1342aa095c00
142244010000
15126b7b4b21
hexa69d8b310

44725482256 has 225 divisors, whose sum is σ = 110801479029. Its totient is φ = 17480421504.

The previous prime is 44725482181. The next prime is 44725482271. The reversal of 44725482256 is 65228452744.

The square root of 44725482256 is 211484.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6616195600 + 38109286656 = 81340^2 + 195216^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

Its product of digits (4300800) is a multiple of the sum of its prime divisors (105).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 538861191 + ... + 538861273.

Almost surely, 244725482256 is an apocalyptic number.

44725482256 is the 211484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44725482256

44725482256 is an abundant number, since it is smaller than the sum of its proper divisors (66075996773).

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

44725482256 is an frugal number, since it uses more digits than its factorization.

44725482256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 105 counting only the distinct ones).

The product of its digits is 4300800, while the sum is 49.

Multiplying 44725482256 by its sum of digits (49), we get a square (2191548630544 = 14803882).

44725482256 divided by its sum of digits (49) gives a square (912764944 = 302122).

The spelling of 44725482256 in words is "forty-four billion, seven hundred twenty-five million, four hundred eighty-two thousand, two hundred fifty-six".