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427318580 = 225132297177
BaseRepresentation
bin11001011110000…
…101110100110100
31002210002000220002
4121132011310310
51333343143310
6110222530432
713406101523
oct3136056464
91083060802
10427318580
111aa234857
12bb136a18
136a6b7c40
1440a764ba
15277acda5
hex19785d34

427318580 has 48 divisors (see below), whose sum is σ = 970752720. Its totient is φ = 157068288.

The previous prime is 427318571. The next prime is 427318589. The reversal of 427318580 is 85813724.

It is an interprime number because it is at equal distance from previous prime (427318571) and next prime (427318589).

It can be written as a sum of positive squares in 8 ways, for example, as 27478564 + 399840016 = 5242^2 + 19996^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427318589) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55952 + ... + 63128.

It is an arithmetic number, because the mean of its divisors is an integer number (20224015).

Almost surely, 2427318580 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 427318580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485376360).

427318580 is an abundant number, since it is smaller than the sum of its proper divisors (543434140).

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

427318580 is a wasteful number, since it uses less digits than its factorization.

427318580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7428 (or 7426 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 427318580 is about 20671.6854658734. The cubic root of 427318580 is about 753.2120492002.

The spelling of 427318580 in words is "four hundred twenty-seven million, three hundred eighteen thousand, five hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 229 260 458 916 1145 2290 2977 4580 5954 7177 11908 14354 14885 28708 29770 35885 59540 71770 93301 143540 186602 373204 466505 933010 1643533 1866020 3287066 6574132 8217665 16435330 21365929 32870660 42731858 85463716 106829645 213659290 427318580