Search a number
-
+
483281864 = 23132379661
BaseRepresentation
bin11100110011100…
…100101111001000
31020200101021002022
4130303210233020
51442210004424
6115542224012
714655554012
oct3463445710
91220337068
10483281864
112288888aa
12115a25008
1379180700
14482831b2
152c66495e
hex1cce4bc8

483281864 has 48 divisors (see below), whose sum is σ = 1007843220. Its totient is φ = 217002240.

The previous prime is 483281861. The next prime is 483281873. The reversal of 483281864 is 468182384.

It can be written as a sum of positive squares in 6 ways, for example, as 26604964 + 456676900 = 5158^2 + 21370^2 .

It is a super-2 number, since 2×4832818642 = 467122720142628992, which contains 22 as substring.

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (483281861) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45194 + ... + 54854.

Almost surely, 2483281864 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 483281864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503921610).

483281864 is an abundant number, since it is smaller than the sum of its proper divisors (524561356).

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

483281864 is a wasteful number, since it uses less digits than its factorization.

483281864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9730 (or 9713 counting only the distinct ones).

The product of its digits is 294912, while the sum is 44.

The square root of 483281864 is about 21983.6726685966. The cubic root of 483281864 is about 784.7539299328.

The spelling of 483281864 in words is "four hundred eighty-three million, two hundred eighty-one thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 169 296 338 481 676 962 1352 1924 3848 6253 9661 12506 19322 25012 38644 50024 77288 125593 251186 357457 502372 714914 1004744 1429828 1632709 2859656 3265418 4646941 6530836 9293882 13061672 18587764 37175528 60410233 120820466 241640932 483281864