Search a number
-
+
487115280 = 243251722341
BaseRepresentation
bin11101000010001…
…100101000010000
31020221121000112200
4131002030220100
51444200142110
6120200323200
715033261111
oct3502145020
91227530480
10487115280
1122aa66a13
12117173500
1379bc34c2
14489a0208
152cb706c0
hex1d08ca10

487115280 has 180 divisors, whose sum is σ = 1738527492. Its totient is φ = 122204160.

The previous prime is 487115273. The next prime is 487115287. The reversal of 487115280 is 82511784.

It is an interprime number because it is at equal distance from previous prime (487115273) and next prime (487115287).

It can be written as a sum of positive squares in 6 ways, for example, as 43086096 + 444029184 = 6564^2 + 21072^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (487115287) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 206910 + ... + 209250.

Almost surely, 2487115280 is an apocalyptic number.

487115280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 487115280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869263746).

487115280 is an abundant number, since it is smaller than the sum of its proper divisors (1251412212).

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

487115280 is a wasteful number, since it uses less digits than its factorization.

487115280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 487115280 is about 22070.6882538810. The cubic root of 487115280 is about 786.8233704232.

The spelling of 487115280 in words is "four hundred eighty-seven million, one hundred fifteen thousand, two hundred eighty".