Search a number
-
+
422090928 = 243271922039
BaseRepresentation
bin11001001010001…
…001100010110000
31002102020102220100
4121022021202300
51331023402203
6105514512400
713313466540
oct3112114260
91072212810
10422090928
111a7294186
12b9435700
13695a765c
14400b5320
15270c8ea3
hex192898b0

422090928 has 120 divisors (see below), whose sum is σ = 1421139200. Its totient is φ = 114244992.

The previous prime is 422090927. The next prime is 422090971. The reversal of 422090928 is 829090224.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 422090892 and 422090901.

It is not an unprimeable number, because it can be changed into a prime (422090927) 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 23 ways as a sum of consecutive naturals, for example, 8133 + ... + 30171.

Almost surely, 2422090928 is an apocalyptic number.

422090928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422090928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710569600).

422090928 is an abundant number, since it is smaller than the sum of its proper divisors (999048272).

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

422090928 is a wasteful number, since it uses less digits than its factorization.

422090928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22079 (or 22070 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 422090928 is about 20544.8516178628. The cubic root of 422090928 is about 750.1279355088.

The spelling of 422090928 in words is "four hundred twenty-two million, ninety thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1064 1197 1368 1596 2128 2394 2736 3192 4788 6384 9576 19152 22039 44078 66117 88156 132234 154273 176312 198351 264468 308546 352624 396702 418741 462819 528936 617092 793404 837482 925638 1057872 1234184 1256223 1388457 1586808 1674964 1851276 2468368 2512446 2776914 2931187 3173616 3349928 3702552 3768669 5024892 5553828 5862374 6699856 7405104 7537338 8793561 10049784 11107656 11724748 15074676 17587122 20099568 22215312 23449496 26380683 30149352 35174244 46898992 52761366 60298704 70348488 105522732 140696976 211045464 422090928