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421410528 = 253271131613
BaseRepresentation
bin11001000111100…
…011011011100000
31002100221212120100
4121013203123200
51330340114103
6105452142400
713304634060
oct3107433340
91070855510
10421410528
111a6969a70
12b9167a00
13693c9a56
143dd793a0
1526ee25a3
hex191e36e0

421410528 has 288 divisors, whose sum is σ = 1544804352. Its totient is φ = 105753600.

The previous prime is 421410491. The next prime is 421410529. The reversal of 421410528 is 825014124.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421410529) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 687150 + ... + 687762.

It is an arithmetic number, because the mean of its divisors is an integer number (5363904).

Almost surely, 2421410528 is an apocalyptic number.

421410528 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 421410528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772402176).

421410528 is an abundant number, since it is smaller than the sum of its proper divisors (1123393824).

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

421410528 is a wasteful number, since it uses less digits than its factorization.

421410528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 421410528 is about 20528.2860463313. The cubic root of 421410528 is about 749.7246562601.

The spelling of 421410528 in words is "four hundred twenty-one million, four hundred ten thousand, five hundred twenty-eight".