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480731456 = 2622932801
BaseRepresentation
bin11100101001110…
…110000101000000
31020111120200120202
4130221312011000
51441031401311
6115411424332
714625102302
oct3451660500
91214520522
10480731456
112273a6727
12114bb50a8
13787998aa
1447bbb972
152c30de3b
hex1ca76140

480731456 has 28 divisors (see below), whose sum is σ = 958146420. Its totient is φ = 239308800.

The previous prime is 480731431. The next prime is 480731467. The reversal of 480731456 is 654137084.

It can be written as a sum of positive squares in 2 ways, for example, as 272910400 + 207821056 = 16520^2 + 14416^2 .

It is a super-3 number, since 3×4807314563 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1745 + ... + 31056.

It is an arithmetic number, because the mean of its divisors is an integer number (34219515).

Almost surely, 2480731456 is an apocalyptic number.

It is an amenable number.

480731456 is a deficient number, since it is larger than the sum of its proper divisors (477414964).

480731456 is a wasteful number, since it uses less digits than its factorization.

480731456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33042 (or 33032 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 480731456 is about 21925.5890684834. The cubic root of 480731456 is about 783.3710421362.

It can be divided in two parts, 4807 and 31456, that added together give a palindrome (36263).

The spelling of 480731456 in words is "four hundred eighty million, seven hundred thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 229 458 916 1832 3664 7328 14656 32801 65602 131204 262408 524816 1049632 2099264 7511429 15022858 30045716 60091432 120182864 240365728 480731456