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422496000 = 283453163
BaseRepresentation
bin11001001011101…
…100011100000000
31002110000000120000
4121023230130000
51331124333000
6105531320000
713320104523
oct3113543400
91073000500
10422496000
111a7540553
12b95b0000
13696b9b44
144017cbba
1527159000
hex192ec700

422496000 has 360 divisors, whose sum is σ = 1581884304. Its totient is φ = 111974400.

The previous prime is 422495999. The next prime is 422496049. The reversal of 422496000 is 694224.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2591919 + ... + 2592081.

Almost surely, 2422496000 is an apocalyptic number.

422496000 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 422496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790942152).

422496000 is an abundant number, since it is smaller than the sum of its proper divisors (1159388304).

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

422496000 is an equidigital number, since it uses as much as digits as its factorization.

422496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 422496000 is about 20554.7074900131. The cubic root of 422496000 is about 750.3678195822.

The spelling of 422496000 in words is "four hundred twenty-two million, four hundred ninety-six thousand".