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983848068 = 2232724431259
BaseRepresentation
bin111010101001000…
…101010010000100
32112120021122211100
4322221011102010
54003331114233
6241343140100
733244366500
oct7251052204
92476248740
10983848068
114653a1685
122355a4630
13128aa3428
1494945300
155b590813
hex3aa45484

983848068 has 108 divisors (see below), whose sum is σ = 2901815280. Its totient is φ = 280242144.

The previous prime is 983848009. The next prime is 983848091. The reversal of 983848068 is 860848389.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 780823 + ... + 782081.

It is an arithmetic number, because the mean of its divisors is an integer number (26868660).

Almost surely, 2983848068 is an apocalyptic number.

983848068 is a gapful number since it is divisible by the number (98) 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 983848068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450907640).

983848068 is an abundant number, since it is smaller than the sum of its proper divisors (1917967212).

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

983848068 is a wasteful number, since it uses less digits than its factorization.

983848068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 983848068 is about 31366.3524816004. The cubic root of 983848068 is about 994.5867725095.

The spelling of 983848068 in words is "nine hundred eighty-three million, eight hundred forty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 443 588 882 886 1259 1329 1764 1772 2518 2658 3101 3777 3987 5036 5316 6202 7554 7974 8813 9303 11331 12404 15108 15948 17626 18606 21707 22662 26439 27909 35252 37212 43414 45324 52878 55818 61691 65121 79317 86828 105756 111636 123382 130242 158634 185073 195363 246764 260484 317268 370146 390726 555219 557737 740292 781452 1110438 1115474 1673211 2220876 2230948 3346422 3904159 5019633 6692844 7808318 10039266 11712477 15616636 20078532 23424954 27329113 35137431 46849908 54658226 70274862 81987339 109316452 140549724 163974678 245962017 327949356 491924034 983848068