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58083642 = 234358541
BaseRepresentation
bin1101110110010…
…0100100111010
311001021221210000
43131210210322
5104332134032
65432533430
71303463031
oct335444472
9131257700
1058083642
112a872111
1217551276
13c058926
1479dd718
155174e7c
hex376493a

58083642 has 20 divisors (see below), whose sum is σ = 130150746. Its totient is φ = 19361160.

The previous prime is 58083637. The next prime is 58083643. The reversal of 58083642 is 24638085.

58083642 is a `hidden beast` number, since 5 + 8 + 0 + 8 + 3 + 642 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57289761 + 793881 = 7569^2 + 891^2 .

It is a junction number, because it is equal to n+sod(n) for n = 58083597 and 58083606.

It is not an unprimeable number, because it can be changed into a prime (58083643) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 179109 + ... + 179432.

Almost surely, 258083642 is an apocalyptic number.

58083642 is an abundant number, since it is smaller than the sum of its proper divisors (72067104).

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

58083642 is a wasteful number, since it uses less digits than its factorization.

58083642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358555 (or 358546 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 58083642 is about 7621.2624938392. The cubic root of 58083642 is about 387.2736481737.

The spelling of 58083642 in words is "fifty-eight million, eighty-three thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 358541 717082 1075623 2151246 3226869 6453738 9680607 19361214 29041821 58083642