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3872022 = 2371117229
BaseRepresentation
bin1110110001010100010110
321021201102020
432301110112
51442401042
6214554010
744624460
oct16612426
97251366
103872022
112205120
121368906
13a5754b
1472b130
155173ec
hex3b1516

3872022 has 96 divisors (see below), whose sum is σ = 10609920. Its totient is φ = 913920.

The previous prime is 3872017. The next prime is 3872023. The reversal of 3872022 is 2202783.

3872022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3871983 and 3872001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3872023) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 133504 + ... + 133532.

It is an arithmetic number, because the mean of its divisors is an integer number (110520).

Almost surely, 23872022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3872022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5304960).

3872022 is an abundant number, since it is smaller than the sum of its proper divisors (6737898).

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

3872022 is a wasteful number, since it uses less digits than its factorization.

3872022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 3872022 is about 1967.7454103618. The cubic root of 3872022 is about 157.0287856127.

The spelling of 3872022 in words is "three million, eight hundred seventy-two thousand, twenty-two".

Divisors: 1 2 3 6 7 11 14 17 21 22 29 33 34 42 51 58 66 77 87 102 119 154 174 187 203 231 238 289 319 357 374 406 462 493 561 578 609 638 714 867 957 986 1122 1218 1309 1479 1734 1914 2023 2233 2618 2958 3179 3451 3927 4046 4466 5423 6069 6358 6699 6902 7854 8381 9537 10353 10846 12138 13398 16269 16762 19074 20706 22253 25143 32538 37961 44506 50286 58667 66759 75922 92191 113883 117334 133518 176001 184382 227766 276573 352002 553146 645337 1290674 1936011 3872022