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999444960 = 253351731439
BaseRepresentation
bin111011100100100…
…101000111100000
32120122122001202000
4323210211013200
54021324214320
6243101324000
733524066463
oct7344450740
92518561660
10999444960
11473184878
1223a866600
1312c0a4667
1496a452da
155cb21c90
hex3b9251e0

999444960 has 384 divisors, whose sum is σ = 3832012800. Its totient is φ = 242196480.

The previous prime is 999444917. The next prime is 999444983. The reversal of 999444960 is 69444999.

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

It is a junction number, because it is equal to n+sod(n) for n = 999444897 and 999444906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2276421 + ... + 2276859.

It is an arithmetic number, because the mean of its divisors is an integer number (9979200).

Almost surely, 2999444960 is an apocalyptic number.

999444960 is a gapful number since it is divisible by the number (90) 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 999444960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916006400).

999444960 is an abundant number, since it is smaller than the sum of its proper divisors (2832567840).

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

999444960 is a wasteful number, since it uses less digits than its factorization.

999444960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 999444960 is about 31613.9994306320. Note that the first 3 decimals coincide. The cubic root of 999444960 is about 999.8149524262.

The spelling of 999444960 in words is "nine hundred ninety-nine million, four hundred forty-four thousand, nine hundred sixty".