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8000982 = 23211172377
BaseRepresentation
bin11110100001010111010110
3120001111021200
4132201113112
54022012412
6443253330
7125002323
oct36412726
916044250
108000982
114575290
12281a246
131871a12
1410c3b4a
15a809dc
hex7a15d6

8000982 has 48 divisors (see below), whose sum is σ = 20032272. Its totient is φ = 2280960.

The previous prime is 8000981. The next prime is 8000983. The reversal of 8000982 is 2890008.

It is an interprime number because it is at equal distance from previous prime (8000981) and next prime (8000983).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8000981) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2178 + ... + 4554.

It is an arithmetic number, because the mean of its divisors is an integer number (417339).

Almost surely, 28000982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8000982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10016136).

8000982 is an abundant number, since it is smaller than the sum of its proper divisors (12031290).

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

8000982 is a wasteful number, since it uses less digits than its factorization.

8000982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 8000982 is about 2828.6007141341. The cubic root of 8000982 is about 200.0081829985.

The spelling of 8000982 in words is "eight million, nine hundred eighty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 2377 3366 4754 7131 14262 21393 26147 40409 42786 52294 78441 80818 121227 156882 235323 242454 363681 444499 470646 727362 888998 1333497 2666994 4000491 8000982