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421871040 = 26325372107
BaseRepresentation
bin11001001001010…
…011110111000000
31002101211021021100
4121021103313000
51330444333130
6105510054400
713311562503
oct3111236700
91071737240
10421871040
111a7153a58
12b934a400
136952b546
144005913a
1527083c60
hex19253dc0

421871040 has 252 divisors, whose sum is σ = 1505276136. Its totient is φ = 108435456.

The previous prime is 421871039. The next prime is 421871057. The reversal of 421871040 is 40178124.

It is a junction number, because it is equal to n+sod(n) for n = 421870995 and 421871013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3942667 + ... + 3942773.

It is an arithmetic number, because the mean of its divisors is an integer number (5973318).

Almost surely, 2421871040 is an apocalyptic number.

421871040 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 421871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752638068).

421871040 is an abundant number, since it is smaller than the sum of its proper divisors (1083405096).

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

421871040 is a wasteful number, since it uses less digits than its factorization.

421871040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 421871040 is about 20539.4995070474. The cubic root of 421871040 is about 749.9976533260.

The spelling of 421871040 in words is "four hundred twenty-one million, eight hundred seventy-one thousand, forty".