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426467328 = 213373767
BaseRepresentation
bin11001011010110…
…110000000000000
31002201110210012020
4121122312000000
51333133423303
6110152401440
713365624660
oct3132660000
91081423166
10426467328
111a9803241
12ba9a6280
136a47a641
14408d41a0
1527690a53
hex196b6000

426467328 has 224 divisors, whose sum is σ = 1354677504. Its totient is φ = 116785152.

The previous prime is 426467299. The next prime is 426467347. The reversal of 426467328 is 823764624.

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 (42).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 426467328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6365151 + ... + 6365217.

Almost surely, 2426467328 is an apocalyptic number.

426467328 is a gapful number since it is divisible by the number (48) 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 426467328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677338752).

426467328 is an abundant number, since it is smaller than the sum of its proper divisors (928210176).

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

426467328 is an equidigital number, since it uses as much as digits as its factorization.

426467328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 116 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 426467328 is about 20651.0853952038. The cubic root of 426467328 is about 752.7115642998.

The spelling of 426467328 in words is "four hundred twenty-six million, four hundred sixty-seven thousand, three hundred twenty-eight".