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985490688 = 28371359239
BaseRepresentation
bin111010101111010…
…110010100000000
32112200101010002010
4322233112110000
54004241200223
6241442252520
733264350460
oct7257262400
92480333063
10985490688
11466313816
12236057140
13129229cb0
1494c51ba0
155b7b7393
hex3abd6500

985490688 has 288 divisors, whose sum is σ = 3296563200. Its totient is φ = 254435328.

The previous prime is 985490677. The next prime is 985490749. The reversal of 985490688 is 886094589.

It is a super-2 number, since 2×9854906882 = 1942383792269426688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4123273 + ... + 4123511.

It is an arithmetic number, because the mean of its divisors is an integer number (11446400).

Almost surely, 2985490688 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 985490688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648281600).

985490688 is an abundant number, since it is smaller than the sum of its proper divisors (2311072512).

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

985490688 is a wasteful number, since it uses less digits than its factorization.

985490688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 57.

The square root of 985490688 is about 31392.5259894772. The cubic root of 985490688 is about 995.1399811476.

The spelling of 985490688 in words is "nine hundred eighty-five million, four hundred ninety thousand, six hundred eighty-eight".