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7982982 = 23373431
BaseRepresentation
bin11110011100111110000110
3120000120121000
4132130332012
54020423412
6443034130
7124566000
oct36347606
916016530
107982982
114562807
12280b946
131866777
1410bb370
15a7a4dc
hex79cf86

7982982 has 64 divisors (see below), whose sum is σ = 20736000. Its totient is φ = 2275560.

The previous prime is 7982981. The next prime is 7982999. The reversal of 7982982 is 2892897.

It is a super-2 number, since 2×79829822 = 127456003224648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7982981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18307 + ... + 18737.

It is an arithmetic number, because the mean of its divisors is an integer number (324000).

Almost surely, 27982982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7982982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10368000).

7982982 is an abundant number, since it is smaller than the sum of its proper divisors (12753018).

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

7982982 is a wasteful number, since it uses less digits than its factorization.

7982982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 443 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 7982982 is about 2825.4171373445. The cubic root of 7982982 is about 199.8580826545.

The spelling of 7982982 in words is "seven million, nine hundred eighty-two thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 343 378 431 441 686 862 882 1029 1293 1323 2058 2586 2646 3017 3087 3879 6034 6174 7758 9051 9261 11637 18102 18522 21119 23274 27153 42238 54306 63357 81459 126714 147833 162918 190071 295666 380142 443499 570213 886998 1140426 1330497 2660994 3991491 7982982