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982881864 = 23342516043
BaseRepresentation
bin111010100101011…
…001011001001000
32112111110120110000
4322211121121020
54003104204424
6241310323000
733233233536
oct7245313110
92474416400
10982881864
114648a1768
122351b9460
13128825703
1494773156
155b44e3c9
hex3a959648

982881864 has 80 divisors (see below), whose sum is σ = 2764404720. Its totient is φ = 326268000.

The previous prime is 982881863. The next prime is 982881869. The reversal of 982881864 is 468188289.

It is a super-2 number, since 2×9828818642 = 1932113517160228992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 982881864.

It is not an unprimeable number, because it can be changed into a prime (982881863) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 159627 + ... + 165669.

It is an arithmetic number, because the mean of its divisors is an integer number (34555059).

Almost surely, 2982881864 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 982881864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382202360).

982881864 is an abundant number, since it is smaller than the sum of its proper divisors (1781522856).

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

982881864 is a wasteful number, since it uses less digits than its factorization.

982881864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6312 (or 6299 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The square root of 982881864 is about 31350.9467799618. The cubic root of 982881864 is about 994.2610824966.

The spelling of 982881864 in words is "nine hundred eighty-two million, eight hundred eighty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 251 324 502 648 753 1004 1506 2008 2259 3012 4518 6024 6043 6777 9036 12086 13554 18072 18129 20331 24172 27108 36258 40662 48344 54216 54387 72516 81324 108774 145032 162648 163161 217548 326322 435096 489483 652644 978966 1305288 1516793 1957932 3033586 3915864 4550379 6067172 9100758 12134344 13651137 18201516 27302274 36403032 40953411 54604548 81906822 109209096 122860233 163813644 245720466 327627288 491440932 982881864