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422910384 = 243132379373
BaseRepresentation
bin11001001101010…
…001100110110000
31002110210001222120
4121031101212300
51331231113014
6105544234240
713323451611
oct3115214660
91073701876
10422910384
111a77a3916
12b976b980
1369803640
1440249c08
15271dbba9
hex193519b0

422910384 has 160 divisors (see below), whose sum is σ = 1246586880. Its totient is φ = 122563584.

The previous prime is 422910359. The next prime is 422910421. The reversal of 422910384 is 483019224.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1133622 + ... + 1133994.

It is an arithmetic number, because the mean of its divisors is an integer number (7791168).

Almost surely, 2422910384 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 422910384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623293440).

422910384 is an abundant number, since it is smaller than the sum of its proper divisors (823676496).

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

422910384 is a wasteful number, since it uses less digits than its factorization.

422910384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 422910384 is about 20564.7850462873. The cubic root of 422910384 is about 750.6130596295.

The spelling of 422910384 in words is "four hundred twenty-two million, nine hundred ten thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 79 92 104 138 156 158 184 208 237 276 299 312 316 368 373 474 552 598 624 632 746 897 948 1027 1104 1119 1196 1264 1492 1794 1817 1896 2054 2238 2392 2984 3081 3588 3634 3792 4108 4476 4784 4849 5451 5968 6162 7176 7268 8216 8579 8952 9698 10902 12324 14352 14536 14547 16432 17158 17904 19396 21804 23621 24648 25737 29072 29094 29467 34316 38792 43608 47242 49296 51474 58188 58934 68632 70863 77584 87216 88401 94484 102948 111527 116376 117868 137264 141726 176802 188968 205896 223054 232752 235736 283452 334581 353604 377936 383071 411792 446108 471472 566904 669162 677741 707208 766142 892216 1133808 1149213 1338324 1355482 1414416 1532284 1784432 2033223 2298426 2676648 2710964 3064568 4066446 4596852 5353296 5421928 6129136 8132892 8810633 9193704 10843856 16265784 17621266 18387408 26431899 32531568 35242532 52863798 70485064 105727596 140970128 211455192 422910384