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422404032 = 263171271019
BaseRepresentation
bin11001001011010…
…101111111000000
31002102211100101210
4121023111333000
51331113412112
6105525330120
713316242431
oct3113257700
91072740353
10422404032
111a7488446
12b9566940
136968701b
1440157488
152713bb3c
hex192d5fc0

422404032 has 112 divisors (see below), whose sum is σ = 1193840640. Its totient is φ = 131346432.

The previous prime is 422404027. The next prime is 422404033. The reversal of 422404032 is 230404224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422404033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414019 + ... + 415037.

Almost surely, 2422404032 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 422404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596920320).

422404032 is an abundant number, since it is smaller than the sum of its proper divisors (771436608).

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

422404032 is a wasteful number, since it uses less digits than its factorization.

422404032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 422404032 is about 20552.4702164971. The cubic root of 422404032 is about 750.3133694923.

Adding to 422404032 its reverse (230404224), we get a palindrome (652808256).

The spelling of 422404032 in words is "four hundred twenty-two million, four hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 127 136 192 204 254 272 381 408 508 544 762 816 1016 1019 1088 1524 1632 2032 2038 2159 3048 3057 3264 4064 4076 4318 6096 6114 6477 8128 8152 8636 12192 12228 12954 16304 17272 17323 24384 24456 25908 32608 34544 34646 48912 51816 51969 65216 69088 69292 97824 103632 103938 129413 138176 138584 195648 207264 207876 258826 277168 388239 414528 415752 517652 554336 776478 831504 1035304 1108672 1552956 1663008 2070608 2200021 3105912 3326016 4141216 4400042 6211824 6600063 8282432 8800084 12423648 13200126 17600168 24847296 26400252 35200336 52800504 70400672 105601008 140801344 211202016 422404032