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422161632 = 2534271601
BaseRepresentation
bin11001001010011…
…010110011100000
31002102101000220000
4121022122303200
51331033133012
6105520220000
713314212634
oct3112326340
91072330800
10422161632
111a7332312
12b946a600
13696008a9
14400d2dc4
15270deddc
hex1929ace0

422161632 has 120 divisors (see below), whose sum is σ = 1248220512. Its totient is φ = 139968000.

The previous prime is 422161631. The next prime is 422161633. The reversal of 422161632 is 236161224.

422161632 is a `hidden beast` number, since 4 + 2 + 21 + 6 + 1 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (422161631) and next prime (422161633).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 422161596 and 422161605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422161631) by changing a digit.

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, 702132 + ... + 702732.

Almost surely, 2422161632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422161632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624110256).

422161632 is an abundant number, since it is smaller than the sum of its proper divisors (826058880).

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

422161632 is a wasteful number, since it uses less digits than its factorization.

422161632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 877 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 422161632 is about 20546.5722688725. The cubic root of 422161632 is about 750.1698175464.

The spelling of 422161632 in words is "four hundred twenty-two million, one hundred sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 271 288 324 432 542 601 648 813 864 1084 1202 1296 1626 1803 2168 2404 2439 2592 3252 3606 4336 4808 4878 5409 6504 7212 7317 8672 9616 9756 10818 13008 14424 14634 16227 19232 19512 21636 21951 26016 28848 29268 32454 39024 43272 43902 48681 57696 58536 64908 78048 86544 87804 97362 117072 129816 162871 173088 175608 194724 234144 259632 325742 351216 389448 488613 519264 651484 702432 778896 977226 1302968 1465839 1557792 1954452 2605936 2931678 3908904 4397517 5211872 5863356 7817808 8795034 11726712 13192551 15635616 17590068 23453424 26385102 35180136 46906848 52770204 70360272 105540408 140720544 211080816 422161632