Search a number
-
+
482674560400 = 2452171074611439
BaseRepresentation
bin1110000011000011010…
…01010100110110010000
31201010212102100012010101
413001201221110312100
530402004141413100
61005423154542144
746605061032544
oct7014151246620
91633772305111
10482674560400
1117677922a27a
1279666897954
13366928c0576
141950c22ba24
15c84eac486a
hex7061a54d90

482674560400 has 240 divisors, whose sum is σ = 1242865451520. Its totient is φ = 179499212800.

The previous prime is 482674560391. The next prime is 482674560437. The reversal of 482674560400 is 4065476284.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 335422881 + ... + 335424319.

It is an arithmetic number, because the mean of its divisors is an integer number (5178606048).

Almost surely, 2482674560400 is an apocalyptic number.

482674560400 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 482674560400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621432725760).

482674560400 is an abundant number, since it is smaller than the sum of its proper divisors (760190891120).

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

482674560400 is a wasteful number, since it uses less digits than its factorization.

482674560400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 46.

The spelling of 482674560400 in words is "four hundred eighty-two billion, six hundred seventy-four million, five hundred sixty thousand, four hundred".