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58003745 = 5172137293
BaseRepresentation
bin1101110101000…
…1000100100001
311001010220011212
43131101010201
5104322104440
65431115505
71303011062
oct335210441
9131126155
1058003745
112a818088
1217512b95
13c02b457
1479bc569
15515b465
hex3751121

58003745 has 24 divisors (see below), whose sum is σ = 74733624. Its totient is φ = 43206656.

The previous prime is 58003733. The next prime is 58003747. The reversal of 58003745 is 54730085.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1317904 + 56685841 = 1148^2 + 7529^2 .

It is not a de Polignac number, because 58003745 - 220 = 56955169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58003747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197819 + ... + 198111.

It is an arithmetic number, because the mean of its divisors is an integer number (3113901).

Almost surely, 258003745 is an apocalyptic number.

It is an amenable number.

58003745 is a deficient number, since it is larger than the sum of its proper divisors (16729879).

58003745 is a wasteful number, since it uses less digits than its factorization.

58003745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 58003745 is about 7616.0189731907. The cubic root of 58003745 is about 387.0959951668.

The spelling of 58003745 in words is "fifty-eight million, three thousand, seven hundred forty-five".

Divisors: 1 5 17 85 137 289 293 685 1445 1465 2329 4981 11645 24905 39593 40141 84677 197965 200705 423385 682397 3411985 11600749 58003745