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421882880 = 21051737131
BaseRepresentation
bin11001001001010…
…110110000000000
31002101211212111212
4121021112300000
51331000223010
6105510225252
713311642146
oct3111266000
91071755455
10421882880
111a7161941
12b9355228
1369533a53
144005d596
1527087505
hex19256c00

421882880 has 176 divisors, whose sum is σ = 1108917216. Its totient is φ = 153354240.

The previous prime is 421882871. The next prime is 421882891. The reversal of 421882880 is 88288124.

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, 3220415 + ... + 3220545.

It is an arithmetic number, because the mean of its divisors is an integer number (6300666).

Almost surely, 2421882880 is an apocalyptic number.

421882880 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 421882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554458608).

421882880 is an abundant number, since it is smaller than the sum of its proper divisors (687034336).

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

421882880 is a wasteful number, since it uses less digits than its factorization.

421882880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 41.

The square root of 421882880 is about 20539.7877301592. The cubic root of 421882880 is about 750.0046696006.

The spelling of 421882880 in words is "four hundred twenty-one million, eight hundred eighty-two thousand, eight hundred eighty".