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2906982 = 2331341101
BaseRepresentation
bin1011000101101101100110
312110200122000
423011231212
51221010412
6142150130
733465111
oct13055546
95420560
102906982
111706071
12b82346
137aa210
14559578
153c64dc
hex2c5b66

2906982 has 64 divisors (see below), whose sum is σ = 7197120. Its totient is φ = 864000.

The previous prime is 2906951. The next prime is 2906987. The reversal of 2906982 is 2896092.

2906982 is nontrivially palindromic in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2906987) 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, 28732 + ... + 28832.

It is an arithmetic number, because the mean of its divisors is an integer number (112455).

22906982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2906982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598560).

2906982 is an abundant number, since it is smaller than the sum of its proper divisors (4290138).

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

2906982 is a wasteful number, since it uses less digits than its factorization.

2906982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2906982 is about 1704.9873899827. The cubic root of 2906982 is about 142.7186670526.

The spelling of 2906982 in words is "two million, nine hundred six thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 41 54 78 82 101 117 123 202 234 246 303 351 369 533 606 702 738 909 1066 1107 1313 1599 1818 2214 2626 2727 3198 3939 4141 4797 5454 7878 8282 9594 11817 12423 14391 23634 24846 28782 35451 37269 53833 70902 74538 107666 111807 161499 223614 322998 484497 968994 1453491 2906982