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9809982 = 23271353113
BaseRepresentation
bin100101011011…
…000000111110
3200110101202200
4211123000332
510002404412
6550132330
7146245350
oct45330076
920411680
109809982
1155a0426
1233510a6
132056230
1414350d0
15cdb9dc
hex95b03e

9809982 has 96 divisors (see below), whose sum is σ = 26889408. Its totient is φ = 2515968.

The previous prime is 9809971. The next prime is 9810001. The reversal of 9809982 is 2899089.

9809982 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86758 + ... + 86870.

It is an arithmetic number, because the mean of its divisors is an integer number (280098).

Almost surely, 29809982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9809982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13444704).

9809982 is an abundant number, since it is smaller than the sum of its proper divisors (17079426).

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

9809982 is a wasteful number, since it uses less digits than its factorization.

9809982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 9809982 is about 3132.0890791930. The cubic root of 9809982 is about 214.0701287032.

The spelling of 9809982 in words is "nine million, eight hundred nine thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 53 63 78 91 106 113 117 126 159 182 226 234 273 318 339 371 477 546 678 689 742 791 819 954 1017 1113 1378 1469 1582 1638 2034 2067 2226 2373 2938 3339 4134 4407 4746 4823 5989 6201 6678 7119 8814 9646 10283 11978 12402 13221 14238 14469 17967 20566 26442 28938 30849 35934 41923 43407 53901 61698 77857 83846 86814 92547 107802 125769 155714 185094 233571 251538 377307 467142 544999 700713 754614 1089998 1401426 1634997 3269994 4904991 9809982