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480598947 = 3342192
BaseRepresentation
bin11100101001010…
…101101110100011
31020111022221211000
4130221111232203
51441013131242
6115404523043
714624011053
oct3451255643
91214287730
10480598947
11227316114
12114b50483
137875149a
1447b85563
152c2d4a4c
hex1ca55ba3

480598947 has 12 divisors (see below), whose sum is σ = 712167240. Its totient is φ = 320323356.

The previous prime is 480598919. The next prime is 480598969. The reversal of 480598947 is 749895084.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

480598947 is a `hidden beast` number, since 4 + 8 + 0 + 598 + 9 + 47 = 666.

It is not a de Polignac number, because 480598947 - 28 = 480598691 is a prime.

It is a super-3 number, since 3×4805989473 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 480598893 and 480598902.

It is not an unprimeable number, because it can be changed into a prime (480598907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111804 + ... + 116022.

It is an arithmetic number, because the mean of its divisors is an integer number (59347270).

Almost surely, 2480598947 is an apocalyptic number.

480598947 is a deficient number, since it is larger than the sum of its proper divisors (231568293).

480598947 is an frugal number, since it uses more digits than its factorization.

480598947 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8447 (or 4222 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 480598947 is about 21922.5670713993. The cubic root of 480598947 is about 783.2990592921.

The spelling of 480598947 in words is "four hundred eighty million, five hundred ninety-eight thousand, nine hundred forty-seven".

Divisors: 1 3 9 27 4219 12657 37971 113913 17799961 53399883 160199649 480598947