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981386028 = 223276136353
BaseRepresentation
bin111010011111101…
…100001100101100
32112101122120112200
4322133230030230
54002213323103
6241214301500
733214433520
oct7237541454
92471576480
10981386028
11463a6a937
122347b7890
131284208bc
14944a3d80
155b2560a3
hex3a7ec32c

981386028 has 72 divisors (see below), whose sum is σ = 2840187168. Its totient is φ = 279894528.

The previous prime is 981386017. The next prime is 981386041. The reversal of 981386028 is 820683189.

981386028 is a `hidden beast` number, since 9 + 8 + 1 + 38 + 602 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151300 + ... + 157652.

It is an arithmetic number, because the mean of its divisors is an integer number (39447044).

Almost surely, 2981386028 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 981386028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420093584).

981386028 is an abundant number, since it is smaller than the sum of its proper divisors (1858801140).

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

981386028 is a wasteful number, since it uses less digits than its factorization.

981386028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6983 (or 6978 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 981386028 is about 31327.0813833654. The cubic root of 981386028 is about 993.7564417762.

The spelling of 981386028 in words is "nine hundred eighty-one million, three hundred eighty-six thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 613 1226 1839 2452 3678 4291 5517 6353 7356 8582 11034 12706 12873 17164 19059 22068 25412 25746 38118 38619 44471 51492 57177 76236 77238 88942 114354 133413 154476 177884 228708 266826 400239 533652 800478 1600956 3894389 7788778 11683167 15577556 23366334 27260723 35049501 46732668 54521446 70099002 81782169 109042892 140198004 163564338 245346507 327128676 490693014 981386028