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422039520 = 253257149281
BaseRepresentation
bin11001001001111…
…100111111100000
31002102010211101100
4121021330333200
51331020231040
6105513434400
713313163630
oct3111747740
91072124340
10422039520
111a72595a1
12b940ba00
136958a136
14400a06c0
15270b8b30
hex1927cfe0

422039520 has 288 divisors, whose sum is σ = 1662897600. Its totient is φ = 95477760.

The previous prime is 422039503. The next prime is 422039537. The reversal of 422039520 is 25930224.

It is an interprime number because it is at equal distance from previous prime (422039503) and next prime (422039537).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1501780 + ... + 1502060.

It is an arithmetic number, because the mean of its divisors is an integer number (5773950).

Almost surely, 2422039520 is an apocalyptic number.

422039520 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 422039520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831448800).

422039520 is an abundant number, since it is smaller than the sum of its proper divisors (1240858080).

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

422039520 is a wasteful number, since it uses less digits than its factorization.

422039520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 422039520 is about 20543.6004634047. The cubic root of 422039520 is about 750.0974806628.

Adding to 422039520 its reverse (25930224), we get a palindrome (447969744).

The spelling of 422039520 in words is "four hundred twenty-two million, thirty-nine thousand, five hundred twenty".