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427948820 = 225131796821
BaseRepresentation
bin11001100000011…
…111101100010100
31002211021001102022
4121200133230110
51334023330240
6110244232312
713414335125
oct3140375424
91084231368
10427948820
111aa625312
12bb39b698
136a878a70
1440b9c04c
15278849b5
hex1981fb14

427948820 has 48 divisors (see below), whose sum is σ = 1024764048. Its totient is φ = 148715520.

The previous prime is 427948793. The next prime is 427948847. The reversal of 427948820 is 28849724.

It is an interprime number because it is at equal distance from previous prime (427948793) and next prime (427948847).

It can be written as a sum of positive squares in 8 ways, for example, as 24581764 + 403367056 = 4958^2 + 20084^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43991 + ... + 52830.

It is an arithmetic number, because the mean of its divisors is an integer number (21349251).

Almost surely, 2427948820 is an apocalyptic number.

It is an amenable number.

427948820 is an abundant number, since it is smaller than the sum of its proper divisors (596815228).

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

427948820 is a wasteful number, since it uses less digits than its factorization.

427948820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96860 (or 96858 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 427948820 is about 20686.9238892591. The cubic root of 427948820 is about 753.5821643002.

The spelling of 427948820 in words is "four hundred twenty-seven million, nine hundred forty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 96821 193642 387284 484105 968210 1258673 1645957 1936420 2517346 3291914 5034692 6293365 6583828 8229785 12586730 16459570 21397441 25173460 32919140 42794882 85589764 106987205 213974410 427948820