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4446996444 = 2233113743263
BaseRepresentation
bin1000010010000111…
…11100011111011100
3102110220210211022000
410021003330133130
533101412341234
62013134322300
7215125563132
oct41103743734
912426724260
104446996444
111982239280
12a41359390
1355b409257
1430286d752
151b061d899
hex1090fc7dc

4446996444 has 48 divisors (see below), whose sum is σ = 12577367040. Its totient is φ = 1347574320.

The previous prime is 4446996443. The next prime is 4446996457.

4446996444 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4446996443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1870444 + ... + 1872819.

It is an arithmetic number, because the mean of its divisors is an integer number (262028480).

Almost surely, 24446996444 is an apocalyptic number.

4446996444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4446996444 is an abundant number, since it is smaller than the sum of its proper divisors (8130370596).

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

4446996444 is a wasteful number, since it uses less digits than its factorization.

4446996444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3743287 (or 3743279 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The square root of 4446996444 is about 66685.8039165758. The cubic root of 4446996444 is about 1644.4560112807.

The spelling of 4446996444 in words is "four billion, four hundred forty-six million, nine hundred ninety-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 3743263 7486526 11229789 14973052 22459578 33689367 41175893 44919156 67378734 82351786 101068101 123527679 134757468 164703572 202136202 247055358 370583037 404272404 494110716 741166074 1111749111 1482332148 2223498222 4446996444