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428362820 = 22522993529
BaseRepresentation
bin11001100010000…
…100110001000100
31002212001002022122
4121202010301010
51334130102240
6110301145112
713421011124
oct3142046104
91085032278
10428362820
111aa888366
12bb55b198
136a992332
1440c68c84
15279174b5
hex19884c44

428362820 has 24 divisors (see below), whose sum is σ = 903499800. Its totient is φ = 170595072.

The previous prime is 428362819. The next prime is 428362843. The reversal of 428362820 is 28263824.

It can be written as a sum of positive squares in 4 ways, for example, as 121132036 + 307230784 = 11006^2 + 17528^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42185 + ... + 51344.

It is an arithmetic number, because the mean of its divisors is an integer number (37645825).

Almost surely, 2428362820 is an apocalyptic number.

It is an amenable number.

428362820 is an abundant number, since it is smaller than the sum of its proper divisors (475136980).

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

428362820 is a wasteful number, since it uses less digits than its factorization.

428362820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93767 (or 93765 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 428362820 is about 20696.9277913414. The cubic root of 428362820 is about 753.8250924658.

The spelling of 428362820 in words is "four hundred twenty-eight million, three hundred sixty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 229 458 916 1145 2290 4580 93529 187058 374116 467645 935290 1870580 21418141 42836282 85672564 107090705 214181410 428362820