Search a number
-
+
484273792 = 277983577
BaseRepresentation
bin11100110111010…
…110111010000000
31020202020122202101
4130313112322000
51442433230132
6120015400144
715000154642
oct3467267200
91222218671
10484273792
112293a6082
12116223054
137943a052
1448460892
152c7ad7e7
hex1cdd6e80

484273792 has 64 divisors (see below), whose sum is σ = 990460800. Its totient is φ = 235782144.

The previous prime is 484273753. The next prime is 484273793. The reversal of 484273792 is 297372484.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×4842737922 = 469042211236118528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (484273793) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 839008 + ... + 839584.

It is an arithmetic number, because the mean of its divisors is an integer number (15475950).

Almost surely, 2484273792 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 484273792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495230400).

484273792 is an abundant number, since it is smaller than the sum of its proper divisors (506187008).

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

484273792 is an equidigital number, since it uses as much as digits as its factorization.

484273792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 741 counting only the distinct ones).

The product of its digits is 677376, while the sum is 46.

The square root of 484273792 is about 22006.2216657017. The cubic root of 484273792 is about 785.2904611625.

The spelling of 484273792 in words is "four hundred eighty-four million, two hundred seventy-three thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 79 83 128 158 166 316 332 577 632 664 1154 1264 1328 2308 2528 2656 4616 5056 5312 6557 9232 10112 10624 13114 18464 26228 36928 45583 47891 52456 73856 91166 95782 104912 182332 191564 209824 364664 383128 419648 729328 766256 839296 1458656 1532512 2917312 3065024 3783389 5834624 6130048 7566778 15133556 30267112 60534224 121068448 242136896 484273792