Search a number
-
+
426522180 = 2235717314147
BaseRepresentation
bin11001011011000…
…011011001000100
31002201120120102210
4121123003121010
51333142202210
6110153503420
713366243620
oct3133033104
91081516383
10426522180
111a9840477
12baa11b70
136a4995b6
144090a180
15276a1e20
hex196c3644

426522180 has 384 divisors, whose sum is σ = 1560674304. Its totient is φ = 84787200.

The previous prime is 426522179. The next prime is 426522181. The reversal of 426522180 is 81225624.

It is an interprime number because it is at equal distance from previous prime (426522179) and next prime (426522181).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (426522181) 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 127 ways as a sum of consecutive naturals, for example, 9074917 + ... + 9074963.

It is an arithmetic number, because the mean of its divisors is an integer number (4064256).

Almost surely, 2426522180 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 426522180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780337152).

426522180 is an abundant number, since it is smaller than the sum of its proper divisors (1134152124).

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

426522180 is a wasteful number, since it uses less digits than its factorization.

426522180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 426522180 is about 20652.4134182909. The cubic root of 426522180 is about 752.7438340361.

The spelling of 426522180 in words is "four hundred twenty-six million, five hundred twenty-two thousand, one hundred eighty".