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422888928 = 253711193011
BaseRepresentation
bin11001001101001…
…100010111100000
31002110201222112220
4121031030113200
51331224421203
6105543551040
713323332220
oct3115142740
91073658486
10422888928
111a7789790
12b975b480
13697c6947
1440242080
15271d5653
hex1934c5e0

422888928 has 192 divisors, whose sum is σ = 1457326080. Its totient is φ = 104025600.

The previous prime is 422888903. The next prime is 422888953. The reversal of 422888928 is 829888224.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (422888903) and next prime (422888953).

It is a congruent number.

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, 138943 + ... + 141953.

It is an arithmetic number, because the mean of its divisors is an integer number (7590240).

Almost surely, 2422888928 is an apocalyptic number.

422888928 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 422888928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728663040).

422888928 is an abundant number, since it is smaller than the sum of its proper divisors (1034437152).

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

422888928 is a wasteful number, since it uses less digits than its factorization.

422888928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3061 (or 3053 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 51.

The square root of 422888928 is about 20564.2633711981. The cubic root of 422888928 is about 750.6003655090.

The spelling of 422888928 in words is "four hundred twenty-two million, eight hundred eighty-eight thousand, nine hundred twenty-eight".