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9982845 = 3451572
BaseRepresentation
bin100110000101…
…001101111101
3200210011220000
4212011031331
510023422340
6553544513
7150565335
oct46051575
920704800
109982845
1156a9294
123415139
1320b6b12
14147c0c5
15d22d30
hex98537d

9982845 has 30 divisors (see below), whose sum is σ = 18009882. Its totient is φ = 5290272.

The previous prime is 9982831. The next prime is 9982867. The reversal of 9982845 is 5482899.

It can be written as a sum of positive squares in 3 ways, for example, as 116964 + 9865881 = 342^2 + 3141^2 .

It is not a de Polignac number, because 9982845 - 24 = 9982829 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

9982845 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 9982845.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 63507 + ... + 63663.

Almost surely, 29982845 is an apocalyptic number.

It is an amenable number.

9982845 is a deficient number, since it is larger than the sum of its proper divisors (8027037).

9982845 is an equidigital number, since it uses as much as digits as its factorization.

9982845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 165 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 9982845 is about 3159.5640522072. The cubic root of 9982845 is about 215.3202007304.

Multiplying 9982845 by its sum of digits (45), we get a square (449228025 = 211952).

9982845 divided by its sum of digits (45) gives a square (221841 = 4712).

It can be divided in two parts, 99 and 82845, that added together give a square (82944 = 2882).

The spelling of 9982845 in words is "nine million, nine hundred eighty-two thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 157 405 471 785 1413 2355 4239 7065 12717 21195 24649 63585 73947 123245 221841 369735 665523 1109205 1996569 3327615 9982845