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982213056 = 2632111941199
BaseRepresentation
bin111010100010110…
…110000111000000
32112110012121000100
4322202312013000
54002421304211
6241244122400
733224446626
oct7242660700
92473177010
10982213056
11464485230
12234b36400
13128650176
149463b516
155b36b156
hex3a8b61c0

982213056 has 336 divisors, whose sum is σ = 3328416000. Its totient is φ = 273715200.

The previous prime is 982213051. The next prime is 982213069. The reversal of 982213056 is 650312289.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 982213056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (982213051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4935645 + ... + 4935843.

It is an arithmetic number, because the mean of its divisors is an integer number (9906000).

Almost surely, 2982213056 is an apocalyptic number.

982213056 is a gapful number since it is divisible by the number (96) 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 982213056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664208000).

982213056 is an abundant number, since it is smaller than the sum of its proper divisors (2346202944).

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

982213056 is a wasteful number, since it uses less digits than its factorization.

982213056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 982213056 is about 31340.2784927001. The cubic root of 982213056 is about 994.0355143061.

The spelling of 982213056 in words is "nine hundred eighty-two million, two hundred thirteen thousand, fifty-six".