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2078946 = 23441313
BaseRepresentation
bin111111011100011100010
310220121210000
413323203202
51013011241
6112320430
723446032
oct7734342
93817700
102078946
11119aa41
12843116
1357a35c
143c18c2
152b0eb6
hex1fb8e2

2078946 has 40 divisors (see below), whose sum is σ = 4787244. Its totient is φ = 673920.

The previous prime is 2078939. The next prime is 2078959. The reversal of 2078946 is 6498702.

It can be written as a sum of positive squares in 2 ways, for example, as 1347921 + 731025 = 1161^2 + 855^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2078946.

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 19 ways as a sum of consecutive naturals, for example, 6486 + ... + 6798.

22078946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2078946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393622).

2078946 is an abundant number, since it is smaller than the sum of its proper divisors (2708298).

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

2078946 is a wasteful number, since it uses less digits than its factorization.

2078946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2078946 is about 1441.8550551286. The cubic root of 2078946 is about 127.6285209255.

The spelling of 2078946 in words is "two million, seventy-eight thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 313 369 626 738 939 1107 1878 2214 2817 3321 5634 6642 8451 12833 16902 25353 25666 38499 50706 76998 115497 230994 346491 692982 1039473 2078946