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426780900 = 223552713193
BaseRepresentation
bin11001011100000…
…010100011100100
31002202001201100000
4121130002203210
51333223442100
6110203221300
713401402120
oct3134024344
91082051300
10426780900
111a99a7897
12bab17830
136a55a2a0
1440976580
1527703900
hex197028e4

426780900 has 432 divisors, whose sum is σ = 1716251264. Its totient is φ = 89579520.

The previous prime is 426780881. The next prime is 426780901. The reversal of 426780900 is 9087624.

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

It is not an unprimeable number, because it can be changed into a prime (426780901) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2211204 + ... + 2211396.

Almost surely, 2426780900 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 426780900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858125632).

426780900 is an abundant number, since it is smaller than the sum of its proper divisors (1289470364).

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

426780900 is a wasteful number, since it uses less digits than its factorization.

426780900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 426780900 is about 20658.6761434512. The cubic root of 426780900 is about 752.8960031612.

The spelling of 426780900 in words is "four hundred twenty-six million, seven hundred eighty thousand, nine hundred".