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9982674 = 23213371153
BaseRepresentation
bin100110000101…
…001011010010
3200210011122200
4212011023102
510023421144
6553544030
7150565002
oct46051322
920704580
109982674
1156a9149
123415016
1320b6a10
14147c002
15d22c69
hex9852d2

9982674 has 48 divisors (see below), whose sum is σ = 23943192. Its totient is φ = 2985984.

The previous prime is 9982673. The next prime is 9982681. The reversal of 9982674 is 4762899.

9982674 = T716 + T717 + ... + T752.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9566649 + 416025 = 3093^2 + 645^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (9982673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8082 + ... + 9234.

Almost surely, 29982674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9982674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11971596).

9982674 is an abundant number, since it is smaller than the sum of its proper divisors (13960518).

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

9982674 is a wasteful number, since it uses less digits than its factorization.

9982674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1208 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 9982674 is about 3159.5369913960. The cubic root of 9982674 is about 215.3189712891.

The spelling of 9982674 in words is "nine million, nine hundred eighty-two thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 222 234 333 481 666 962 1153 1443 2306 2886 3459 4329 6918 8658 10377 14989 20754 29978 42661 44967 85322 89934 127983 134901 255966 269802 383949 554593 767898 1109186 1663779 3327558 4991337 9982674