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422992128 = 2831323259
BaseRepresentation
bin11001001101100…
…101100100000000
31002110221020010010
4121031211210000
51331241222003
6105550104520
713324242126
oct3115454400
91073836103
10422992128
111a784a279
12b97ab140
1369831900
144026b916
1527206003
hex19365900

422992128 has 108 divisors (see below), whose sum is σ = 1219409520. Its totient is φ = 130111488.

The previous prime is 422992123. The next prime is 422992139. The reversal of 422992128 is 821299224.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (422992123) 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 11 ways as a sum of consecutive naturals, for example, 128163 + ... + 131421.

Almost surely, 2422992128 is an apocalyptic number.

422992128 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 422992128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609704760).

422992128 is an abundant number, since it is smaller than the sum of its proper divisors (796417392).

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

422992128 is a wasteful number, since it uses less digits than its factorization.

422992128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3277 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 422992128 is about 20566.7724254439. The cubic root of 422992128 is about 750.6614183074.

The spelling of 422992128 in words is "four hundred twenty-two million, nine hundred ninety-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 256 312 338 384 416 507 624 676 768 832 1014 1248 1352 1664 2028 2496 2704 3259 3328 4056 4992 5408 6518 8112 9777 9984 10816 13036 16224 19554 21632 26072 32448 39108 42367 43264 52144 64896 78216 84734 104288 127101 129792 156432 169468 208576 254202 312864 338936 417152 508404 550771 625728 677872 834304 1016808 1101542 1251456 1355744 1652313 2033616 2203084 2502912 2711488 3304626 4067232 4406168 5422976 6609252 8134464 8812336 10845952 13218504 16268928 17624672 26437008 32537856 35249344 52874016 70498688 105748032 140997376 211496064 422992128