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2081442 = 231124761
BaseRepresentation
bin111111100001010100010
310220202012110
413330022202
51013101232
6112340150
723456226
oct7741242
93822173
102081442
1111a1900
12844656
1357b52c
143c2786
152b1acc
hex1fc2a2

2081442 has 48 divisors (see below), whose sum is σ = 4749696. Its totient is φ = 607200.

The previous prime is 2081437. The next prime is 2081467. The reversal of 2081442 is 2441802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34092 + ... + 34152.

It is an arithmetic number, because the mean of its divisors is an integer number (98952).

22081442 is an apocalyptic number.

2081442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2081442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374848).

2081442 is an abundant number, since it is smaller than the sum of its proper divisors (2668254).

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

2081442 is a wasteful number, since it uses less digits than its factorization.

2081442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2081442 is about 1442.7203471221. The cubic root of 2081442 is about 127.6795777886.

The spelling of 2081442 in words is "two million, eighty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 47 61 66 94 121 122 141 183 242 282 363 366 517 671 726 1034 1342 1551 2013 2867 3102 4026 5687 5734 7381 8601 11374 14762 17061 17202 22143 31537 34122 44286 63074 94611 189222 346907 693814 1040721 2081442