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4129422 = 2311193789
BaseRepresentation
bin1111110000001010001110
321202210111120
433300022032
52024120142
6224301410
750046063
oct17601216
97683446
104129422
112370550
121471866
13b1775b
14796c6a
155687ec
hex3f028e

4129422 has 64 divisors (see below), whose sum is σ = 9849600. Its totient is φ = 1140480.

The previous prime is 4129393. The next prime is 4129423. The reversal of 4129422 is 2249214.

4129422 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 = 4129392 and 4129401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4129423) 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 31 ways as a sum of consecutive naturals, for example, 46354 + ... + 46442.

It is an arithmetic number, because the mean of its divisors is an integer number (153900).

Almost surely, 24129422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4129422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4924800).

4129422 is an abundant number, since it is smaller than the sum of its proper divisors (5720178).

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

4129422 is a wasteful number, since it uses less digits than its factorization.

4129422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161.

The product of its digits is 1152, while the sum is 24.

The square root of 4129422 is about 2032.0979307110. The cubic root of 4129422 is about 160.4340039806.

The spelling of 4129422 in words is "four million, one hundred twenty-nine thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 19 22 33 37 38 57 66 74 89 111 114 178 209 222 267 407 418 534 627 703 814 979 1221 1254 1406 1691 1958 2109 2442 2937 3293 3382 4218 5073 5874 6586 7733 9879 10146 15466 18601 19758 23199 36223 37202 46398 55803 62567 72446 108669 111606 125134 187701 217338 375402 688237 1376474 2064711 4129422