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422424640 = 26511412927
BaseRepresentation
bin11001001011011…
…011000001000000
31002102212101200001
4121023123001000
51331120042030
6105530005344
713316356501
oct3113330100
91072771601
10422424640
111a74a1980
12b9576854
1369693511
1440160ba8
1527142cca
hex192db040

422424640 has 112 divisors (see below), whose sum is σ = 1124492544. Its totient is φ = 149811200.

The previous prime is 422424593. The next prime is 422424679. The reversal of 422424640 is 46424224.

It is a junction number, because it is equal to n+sod(n) for n = 422424599 and 422424608.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 142857 + ... + 145783.

It is an arithmetic number, because the mean of its divisors is an integer number (10040112).

Almost surely, 2422424640 is an apocalyptic number.

422424640 is a gapful number since it is divisible by the number (40) 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 422424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562246272).

422424640 is an abundant number, since it is smaller than the sum of its proper divisors (702067904).

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

422424640 is a wasteful number, since it uses less digits than its factorization.

422424640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 422424640 is about 20552.9715613096. The cubic root of 422424640 is about 750.3255712433.

Adding to 422424640 its reverse (46424224), we get a palindrome (468848864).

The spelling of 422424640 in words is "four hundred twenty-two million, four hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 41 44 55 64 80 82 88 110 160 164 176 205 220 320 328 352 410 440 451 656 704 820 880 902 1312 1640 1760 1804 2255 2624 2927 3280 3520 3608 4510 5854 6560 7216 9020 11708 13120 14432 14635 18040 23416 28864 29270 32197 36080 46832 58540 64394 72160 93664 117080 120007 128788 144320 160985 187328 234160 240014 257576 321970 468320 480028 515152 600035 643940 936640 960056 1030304 1200070 1287880 1320077 1920112 2060608 2400140 2575760 2640154 3840224 4800280 5151520 5280308 6600385 7680448 9600560 10303040 10560616 13200770 19201120 21121232 26401540 38402240 42242464 52803080 84484928 105606160 211212320 422424640