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444950688 = 25371331253
BaseRepresentation
bin11010100001010…
…110100010100000
31011000020211121010
4122201112202200
51402401410223
6112052500520
714012006220
oct3241264240
91130224533
10444950688
11209188046
1210501a740
137124c640
1443146080
15290e2393
hex1a8568a0

444950688 has 288 divisors, whose sum is σ = 1513427328. Its totient is φ = 111421440.

The previous prime is 444950687. The next prime is 444950689. The reversal of 444950688 is 886059444.

It is an interprime number because it is at equal distance from previous prime (444950687) and next prime (444950689).

It is a super-2 number, since 2×4449506882 = 395962229503346688, which contains 22 as substring.

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 (444950687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8395270 + ... + 8395322.

It is an arithmetic number, because the mean of its divisors is an integer number (5254956).

Almost surely, 2444950688 is an apocalyptic number.

444950688 is a gapful number since it is divisible by the number (48) 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 444950688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756713664).

444950688 is an abundant number, since it is smaller than the sum of its proper divisors (1068476640).

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

444950688 is a wasteful number, since it uses less digits than its factorization.

444950688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The square root of 444950688 is about 21093.8542708534. The cubic root of 444950688 is about 763.4324705287.

The spelling of 444950688 in words is "four hundred forty-four million, nine hundred fifty thousand, six hundred eighty-eight".