[go: up one dir, main page]

Search a number
-
+
1480206048 = 2531753109157
BaseRepresentation
bin101100000111010…
…0010011011100000
310211011021020222020
41120032202123200
511012413043143
6402513541440
751452354346
oct13016423340
93734236866
101480206048
1169a5a0792
12353874880
131a7881889
1410082d996
1589e39883
hex583a26e0

1480206048 has 192 divisors, whose sum is σ = 4257126720. Its totient is φ = 448561152.

The previous prime is 1480206041. The next prime is 1480206059. The reversal of 1480206048 is 8406020841.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1480206041) 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 31 ways as a sum of consecutive naturals, for example, 9427986 + ... + 9428142.

It is an arithmetic number, because the mean of its divisors is an integer number (22172535).

Almost surely, 21480206048 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 1480206048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128563360).

1480206048 is an abundant number, since it is smaller than the sum of its proper divisors (2776920672).

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

1480206048 is a wasteful number, since it uses less digits than its factorization.

1480206048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 1480206048 is about 38473.4460115025. The cubic root of 1480206048 is about 1139.6567264386.

Adding to 1480206048 its reverse (8406020841), we get a palindrome (9886226889).

The spelling of 1480206048 in words is "one billion, four hundred eighty million, two hundred six thousand, forty-eight".