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422994960 = 243657253
BaseRepresentation
bin11001001101100…
…110010000010000
31002110221101000000
4121031212100100
51331241314320
6105550130000
713324253313
oct3115462020
91073841000
10422994960
111a7851413
12b97b0900
1369832c9b
144026c97a
1527206c90
hex19366410

422994960 has 140 divisors (see below), whose sum is σ = 1474723692. Its totient is φ = 112783104.

The previous prime is 422994953. The next prime is 422994977. The reversal of 422994960 is 69499224.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 231891984 + 191102976 = 15228^2 + 13824^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 27 ways as a sum of consecutive naturals, for example, 54694 + ... + 61946.

Almost surely, 2422994960 is an apocalyptic number.

422994960 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 422994960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737361846).

422994960 is an abundant number, since it is smaller than the sum of its proper divisors (1051728732).

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

422994960 is an equidigital number, since it uses as much as digits as its factorization.

422994960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7284 (or 7263 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 422994960 is about 20566.8412742453. The cubic root of 422994960 is about 750.6630935698.

The spelling of 422994960 in words is "four hundred twenty-two million, nine hundred ninety-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 729 810 972 1080 1215 1296 1458 1620 1944 2160 2430 2916 3240 3645 3888 4860 5832 6480 7253 7290 9720 11664 14506 14580 19440 21759 29012 29160 36265 43518 58024 58320 65277 72530 87036 108795 116048 130554 145060 174072 195831 217590 261108 290120 326385 348144 391662 435180 522216 580240 587493 652770 783324 870360 979155 1044432 1174986 1305540 1566648 1740720 1762479 1958310 2349972 2611080 2937465 3133296 3524958 3916620 4699944 5222160 5287437 5874930 7049916 7833240 8812395 9399888 10574874 11749860 14099832 15666480 17624790 21149748 23499720 26437185 28199664 35249580 42299496 46999440 52874370 70499160 84598992 105748740 140998320 211497480 422994960