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421813656 = 23341117592
BaseRepresentation
bin11001001001000…
…101110110011000
31002101201100120000
4121021011312120
51330441014111
6105504533000
713311233265
oct3111056630
91071640500
10421813656
111a7114930
12b9321160
136950b3a4
144004226c
1527071c56
hex19245d98

421813656 has 240 divisors, whose sum is σ = 1388213640. Its totient is φ = 118264320.

The previous prime is 421813619. The next prime is 421813669. The reversal of 421813656 is 656318124.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 421813656.

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 59 ways as a sum of consecutive naturals, for example, 7149355 + ... + 7149413.

Almost surely, 2421813656 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 421813656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694106820).

421813656 is an abundant number, since it is smaller than the sum of its proper divisors (966399984).

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

421813656 is a wasteful number, since it uses less digits than its factorization.

421813656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 92 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 421813656 is about 20538.1025413742. The cubic root of 421813656 is about 749.9636462379.

The spelling of 421813656 in words is "four hundred twenty-one million, eight hundred thirteen thousand, six hundred fifty-six".