Search a number
-
+
508227840 = 28325157281
BaseRepresentation
bin11110010010101…
…111000100000000
31022102022122112100
4132102233010000
52020101242330
6122233030400
715410602551
oct3622570400
91272278470
10508227840
1124097710a
12122255400
13813a6143
144b6d8328
152e941060
hex1e4af100

508227840 has 216 divisors, whose sum is σ = 1775913048. Its totient is φ = 134184960.

The previous prime is 508227833. The next prime is 508227877. The reversal of 508227840 is 48722805.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 45805824 + 462422016 = 6768^2 + 21504^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 508227795 and 508227804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1808500 + ... + 1808780.

Almost surely, 2508227840 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 508227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887956524).

508227840 is an abundant number, since it is smaller than the sum of its proper divisors (1267685208).

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

508227840 is a wasteful number, since it uses less digits than its factorization.

508227840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 508227840 is about 22543.9091552463. The cubic root of 508227840 is about 798.0304885934.

The spelling of 508227840 in words is "five hundred eight million, two hundred twenty-seven thousand, eight hundred forty".