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480597468 = 223132236981
BaseRepresentation
bin11100101001010…
…101010111011100
31020111022212210020
4130221111113130
51441013104333
6115404512140
714624003541
oct3451252734
91214285706
10480597468
11227314a9a
12114b4b650
1378750900
1447b84bc8
152c2d43b3
hex1ca555dc

480597468 has 36 divisors (see below), whose sum is σ = 1214295768. Its totient is φ = 147875520.

The previous prime is 480597451. The next prime is 480597503. The reversal of 480597468 is 864795084.

It is a super-3 number, since 3×4805974683 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 480597468.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116463 + ... + 120518.

It is an arithmetic number, because the mean of its divisors is an integer number (33730438).

Almost surely, 2480597468 is an apocalyptic number.

It is an amenable number.

480597468 is an abundant number, since it is smaller than the sum of its proper divisors (733698300).

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

480597468 is a wasteful number, since it uses less digits than its factorization.

480597468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237014 (or 236999 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 480597468 is about 21922.5333390099. The cubic root of 480597468 is about 783.2982557805.

The spelling of 480597468 in words is "four hundred eighty million, five hundred ninety-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 2028 236981 473962 710943 947924 1421886 2843772 3080753 6161506 9242259 12323012 18484518 36969036 40049789 80099578 120149367 160199156 240298734 480597468