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244897920 = 27325174161
BaseRepresentation
bin11101001100011…
…01100010000000
3122001211002210100
432212031202000
51000143213140
640145002400
76032412051
oct1646154200
9561732710
10244897920
11116269483
126a023400
133b977317
142474c728
1516777530
hexe98d880

244897920 has 384 divisors, whose sum is σ = 932284080. Its totient is φ = 58982400.

The previous prime is 244897909. The next prime is 244897921. The reversal of 244897920 is 29798442.

It can be written as a sum of positive squares in 8 ways, for example, as 18455616 + 226442304 = 4296^2 + 15048^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244897921) 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, 4014690 + ... + 4014750.

Almost surely, 2244897920 is an apocalyptic number.

244897920 is a gapful number since it is divisible by the number (20) 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 244897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466142040).

244897920 is an abundant number, since it is smaller than the sum of its proper divisors (687386160).

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

244897920 is a wasteful number, since it uses less digits than its factorization.

244897920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 244897920 is about 15649.2146767817. The cubic root of 244897920 is about 625.6455580448.

The spelling of 244897920 in words is "two hundred forty-four million, eight hundred ninety-seven thousand, nine hundred twenty".