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422938560 = 2635113331
BaseRepresentation
bin11001001101011…
…000011111000000
31002110211111122010
4121031120133000
51331233013220
6105545012520
713323630012
oct3115303700
91073744563
10422938560
111a7813000
12b9784140
1369813405
14402561b2
15271e51e0
hex193587c0

422938560 has 224 divisors, whose sum is σ = 1481474304. Its totient is φ = 102220800.

The previous prime is 422938553. The next prime is 422938573. The reversal of 422938560 is 65839224.

It is a happy number.

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, 1277595 + ... + 1277925.

Almost surely, 2422938560 is an apocalyptic number.

422938560 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 422938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740737152).

422938560 is an abundant number, since it is smaller than the sum of its proper divisors (1058535744).

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

422938560 is a wasteful number, since it uses less digits than its factorization.

422938560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 422938560 is about 20565.4700894485. The cubic root of 422938560 is about 750.6297288852.

The spelling of 422938560 in words is "four hundred twenty-two million, nine hundred thirty-eight thousand, five hundred sixty".