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421427520 = 26325414383
BaseRepresentation
bin11001000111100…
…111100101000000
31002100222201212200
4121013213211000
51330341140040
6105452353200
713305034443
oct3107474500
91070881780
10421427520
111a6980808
12b9175800
13694046c7
143dd8165a
1526ee7630
hex191e7940

421427520 has 336 divisors, whose sum is σ = 1537728192. Its totient is φ = 105799680.

The previous prime is 421427519. The next prime is 421427527. The reversal of 421427520 is 25724124.

It is a super-2 number, since 2×4214275202 = 355202309226700800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421427527) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5077399 + ... + 5077481.

It is an arithmetic number, because the mean of its divisors is an integer number (4576572).

Almost surely, 2421427520 is an apocalyptic number.

421427520 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 421427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768864096).

421427520 is an abundant number, since it is smaller than the sum of its proper divisors (1116300672).

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

421427520 is a wasteful number, since it uses less digits than its factorization.

421427520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 421427520 is about 20528.6999101258. The cubic root of 421427520 is about 749.7347328555.

The spelling of 421427520 in words is "four hundred twenty-one million, four hundred twenty-seven thousand, five hundred twenty".