Search a number
-
+
487467288 = 233372115379
BaseRepresentation
bin11101000011100…
…010100100011000
31020222020220102000
4131003202210120
51444242423123
6120212041000
715036255300
oct3503424430
91228226360
10487467288
11230187430
12117303160
1379cb77a9
1448a52600
152cbdeb43
hex1d0e2918

487467288 has 384 divisors, whose sum is σ = 1772928000. Its totient is φ = 122653440.

The previous prime is 487467271. The next prime is 487467289. The reversal of 487467288 is 882764784.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487467289) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6170433 + ... + 6170511.

It is an arithmetic number, because the mean of its divisors is an integer number (4617000).

Almost surely, 2487467288 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 487467288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886464000).

487467288 is an abundant number, since it is smaller than the sum of its proper divisors (1285460712).

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

487467288 is a wasteful number, since it uses less digits than its factorization.

487467288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 155 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 54.

The square root of 487467288 is about 22078.6613724655. The cubic root of 487467288 is about 787.0128542704.

The spelling of 487467288 in words is "four hundred eighty-seven million, four hundred sixty-seven thousand, two hundred eighty-eight".