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422525376 = 26337132687
BaseRepresentation
bin11001001011110…
…011100111000000
31002110001111212000
4121023303213000
51331131303001
6105532104000
713320256260
oct3113634700
91073044760
10422525376
111a7560629
12b9605000
13696ca320
14401897a0
1527162a86
hex192f39c0

422525376 has 224 divisors, whose sum is σ = 1529364480. Its totient is φ = 111393792.

The previous prime is 422525321. The next prime is 422525393. The reversal of 422525376 is 673525224.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 422525376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155905 + ... + 158591.

It is an arithmetic number, because the mean of its divisors is an integer number (6827520).

Almost surely, 2422525376 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 422525376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764682240).

422525376 is an abundant number, since it is smaller than the sum of its proper divisors (1106839104).

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

422525376 is a wasteful number, since it uses less digits than its factorization.

422525376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728 (or 2712 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 422525376 is about 20555.4220584254. The cubic root of 422525376 is about 750.3852101170.

The spelling of 422525376 in words is "four hundred twenty-two million, five hundred twenty-five thousand, three hundred seventy-six".