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422956456 = 231318122469
BaseRepresentation
bin11001001101011…
…100110110101000
31002110212102011221
4121031130312220
51331234101311
6105545231424
713324033126
oct3115346650
91073772157
10422956456
111a782549a
12b9792574
136981b5c0
144025c916
15271ea671
hex1935cda8

422956456 has 32 divisors (see below), whose sum is σ = 858803400. Its totient is φ = 194123520.

The previous prime is 422956433. The next prime is 422956517. The reversal of 422956456 is 654659224.

It can be written as a sum of positive squares in 4 ways, for example, as 208802500 + 214153956 = 14450^2 + 14634^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7590 + ... + 30058.

Almost surely, 2422956456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422956456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429401700).

422956456 is an abundant number, since it is smaller than the sum of its proper divisors (435846944).

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

422956456 is a wasteful number, since it uses less digits than its factorization.

422956456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22669 (or 22665 counting only the distinct ones).

The product of its digits is 518400, while the sum is 43.

The square root of 422956456 is about 20565.9051830937. The cubic root of 422956456 is about 750.6403159865.

The spelling of 422956456 in words is "four hundred twenty-two million, nine hundred fifty-six thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 26 52 104 181 362 724 1448 2353 4706 9412 18824 22469 44938 89876 179752 292097 584194 1168388 2336776 4066889 8133778 16267556 32535112 52869557 105739114 211478228 422956456