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985056 = 25331331
BaseRepresentation
bin11110000011111100000
31212001020120
43300133200
5223010211
633040240
711241612
oct3603740
91761216
10985056
116130a6
123b6080
13286497
141b8db2
15146d06
hexf07e0

985056 has 48 divisors (see below), whose sum is σ = 2677248. Its totient is φ = 316800.

The previous prime is 985027. The next prime is 985057. The reversal of 985056 is 650589.

985056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an alternating number because its digits alternate between odd and even.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 985056.

It is not an unprimeable number, because it can be changed into a prime (985057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2811 + ... + 3141.

It is an arithmetic number, because the mean of its divisors is an integer number (55776).

2985056 is an apocalyptic number.

985056 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is a pronic number, being equal to 992×993.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 985056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338624).

985056 is an abundant number, since it is smaller than the sum of its proper divisors (1692192).

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

985056 is a wasteful number, since it uses less digits than its factorization.

985056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 985056 is about 992.4998740554. The cubic root of 985056 is about 99.4993644901.

The spelling of 985056 in words is "nine hundred eighty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 331 372 496 662 744 992 993 1324 1488 1986 2648 2976 3972 5296 7944 10261 10592 15888 20522 30783 31776 41044 61566 82088 123132 164176 246264 328352 492528 985056