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985096944 = 2433132103131
BaseRepresentation
bin111010101101110…
…110001011110000
32112122122002222000
4322231312023300
54004141100234
6241430014000
733261120516
oct7255661360
92478562860
10985096944
11466074a07
12235aa7300
1312911ca00
1494b8c4b6
155b73a899
hex3ab762f0

985096944 has 240 divisors, whose sum is σ = 3115157760. Its totient is φ = 297872640.

The previous prime is 985096921. The next prime is 985097023. The reversal of 985096944 is 449690589.

985096944 is a `hidden beast` number, since 98 + 509 + 6 + 9 + 44 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7519759 + ... + 7519889.

It is an arithmetic number, because the mean of its divisors is an integer number (12979824).

Almost surely, 2985096944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 985096944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557578880).

985096944 is an abundant number, since it is smaller than the sum of its proper divisors (2130060816).

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

985096944 is a wasteful number, since it uses less digits than its factorization.

985096944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 985096944 is about 31386.2540612925. The cubic root of 985096944 is about 995.0074303966.

The spelling of 985096944 in words is "nine hundred eighty-five million, ninety-six thousand, nine hundred forty-four".