Search a number
-
+
982133856 = 253311234493
BaseRepresentation
bin111010100010100…
…010110001100000
32112110001120101000
4322202202301200
54002411240411
6241242312000
733224000004
oct7242426140
92473046330
10982133856
11464430780
12234ab8600
131286230c2
149461a704
155b352956
hex3a8a2c60

982133856 has 192 divisors, whose sum is σ = 3261565440. Its totient is φ = 284613120.

The previous prime is 982133851. The next prime is 982133861. The reversal of 982133856 is 658331289.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (982133851) and next prime (982133861).

It is a super-2 number, since 2×9821338562 = 1929173822202857472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (982133851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216346 + ... + 220838.

It is an arithmetic number, because the mean of its divisors is an integer number (16987320).

Almost surely, 2982133856 is an apocalyptic number.

982133856 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 982133856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630782720).

982133856 is an abundant number, since it is smaller than the sum of its proper divisors (2279431584).

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

982133856 is a wasteful number, since it uses less digits than its factorization.

982133856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4546 (or 4532 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 982133856 is about 31339.0149175114. The cubic root of 982133856 is about 994.0087958230.

The spelling of 982133856 in words is "nine hundred eighty-two million, one hundred thirty-three thousand, eight hundred fifty-six".