Search a number
-
+
1483465984 = 28721113827
BaseRepresentation
bin101100001101011…
…1110010100000000
310211101101212202121
41120122332110000
511014231402414
6403111454024
751522152500
oct13032762400
93741355677
101483465984
116a1417a50
12354987314
131a8453630
1410103ba00
158a380724
hex586be500

1483465984 has 216 divisors, whose sum is σ = 4051682208. Its totient is φ = 532869120.

The previous prime is 1483465967. The next prime is 1483465993. The reversal of 1483465984 is 4895643841.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1793379 + ... + 1794205.

It is an arithmetic number, because the mean of its divisors is an integer number (18757788).

Almost surely, 21483465984 is an apocalyptic number.

1483465984 is a gapful number since it is divisible by the number (14) 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 1483465984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025841104).

1483465984 is an abundant number, since it is smaller than the sum of its proper divisors (2568216224).

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

1483465984 is a wasteful number, since it uses less digits than its factorization.

1483465984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 860 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 52.

The square root of 1483465984 is about 38515.7887625322. The cubic root of 1483465984 is about 1140.4927550730.

The spelling of 1483465984 in words is "one billion, four hundred eighty-three million, four hundred sixty-five thousand, nine hundred eighty-four".