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1058838228 = 223274201739
BaseRepresentation
bin111111000111001…
…001011011010100
32201210101112222200
4333013021123110
54132030310403
6253022324500
735144655630
oct7707113324
92653345880
101058838228
114a3760918
12256729730
1313b49b3c6
14a08a5dc0
1562e54ca3
hex3f1c96d4

1058838228 has 36 divisors (see below), whose sum is σ = 3058866720. Its totient is φ = 302525136.

The previous prime is 1058838203. The next prime is 1058838239. The reversal of 1058838228 is 8228388501.

1058838228 is a `hidden beast` number, since 10 + 588 + 38 + 2 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10588382282 = 2242276786148359968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2100618 + ... + 2101121.

It is an arithmetic number, because the mean of its divisors is an integer number (84968520).

Almost surely, 21058838228 is an apocalyptic number.

1058838228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1058838228 is an abundant number, since it is smaller than the sum of its proper divisors (2000028492).

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

1058838228 is a wasteful number, since it uses less digits than its factorization.

1058838228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4201756 (or 4201751 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 1058838228 is about 32539.7945291608. The cubic root of 1058838228 is about 1019.2401838516.

The spelling of 1058838228 in words is "one billion, fifty-eight million, eight hundred thirty-eight thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 4201739 8403478 12605217 16806956 25210434 29412173 37815651 50420868 58824346 75631302 88236519 117648692 151262604 176473038 264709557 352946076 529419114 1058838228