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481303296 = 28362579
BaseRepresentation
bin11100101100000…
…001101100000000
31020112122202000000
4130230001230000
51441203201141
6115432000000
714633003415
oct3454015400
91215582000
10481303296
11227757321
12115230000
1378939c66
1447cca10c
152c3c35b6
hex1cb01b00

481303296 has 126 divisors (see below), whose sum is σ = 1440989340. Its totient is φ = 160372224.

The previous prime is 481303283. The next prime is 481303321. The reversal of 481303296 is 692303184.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 481303296.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 185335 + ... + 187913.

Almost surely, 2481303296 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 481303296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720494670).

481303296 is an abundant number, since it is smaller than the sum of its proper divisors (959686044).

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

481303296 is an frugal number, since it uses more digits than its factorization.

481303296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2613 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 481303296 is about 21938.6256634275. The cubic root of 481303296 is about 783.6815310714.

The spelling of 481303296 in words is "four hundred eighty-one million, three hundred three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 729 768 864 972 1152 1296 1458 1728 1944 2304 2579 2592 2916 3456 3888 5158 5184 5832 6912 7737 7776 10316 10368 11664 15474 15552 20632 20736 23211 23328 30948 31104 41264 46422 46656 61896 62208 69633 82528 92844 93312 123792 139266 165056 185688 186624 208899 247584 278532 330112 371376 417798 495168 557064 626697 660224 742752 835596 990336 1114128 1253394 1485504 1671192 1880091 1980672 2228256 2506788 2971008 3342384 3760182 4456512 5013576 5942016 6684768 7520364 8913024 10027152 13369536 15040728 17826048 20054304 26739072 30081456 40108608 53478144 60162912 80217216 120325824 160434432 240651648 481303296