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985260672 = 27341153163
BaseRepresentation
bin111010101110011…
…110001010000000
32112122221102120000
4322232132022000
54004211320142
6241433320000
733262402044
oct7256361200
92478842500
10985260672
11466176a20
12235b66000
131291793a6
1494bd2024
155b76e14c
hex3ab9e280

985260672 has 320 divisors, whose sum is σ = 3279022560. Its totient is φ = 291133440.

The previous prime is 985260667. The next prime is 985260691. The reversal of 985260672 is 276062589.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6044463 + ... + 6044625.

Almost surely, 2985260672 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 985260672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639511280).

985260672 is an abundant number, since it is smaller than the sum of its proper divisors (2293761888).

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

985260672 is a wasteful number, since it uses less digits than its factorization.

985260672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 985260672 is about 31388.8622285039. The cubic root of 985260672 is about 995.0625524002.

The spelling of 985260672 in words is "nine hundred eighty-five million, two hundred sixty thousand, six hundred seventy-two".