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58080321 = 3413192903
BaseRepresentation
bin1101110110001…
…1110001000001
311001021210020000
43131203301001
5104332032241
65432510213
71303450245
oct335436101
9131253200
1058080321
112a86a672
121754b369
13c057270
1479dc425
155173eb6
hex3763c41

58080321 has 40 divisors (see below), whose sum is σ = 98387520. Its totient is φ = 33848928.

The previous prime is 58080317. The next prime is 58080331. The reversal of 58080321 is 12308085.

It is a happy number.

58080321 is a `hidden beast` number, since 580 + 80 + 3 + 2 + 1 = 666.

58080321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 58080321 - 22 = 58080317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58080311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18556 + ... + 21458.

It is an arithmetic number, because the mean of its divisors is an integer number (2459688).

Almost surely, 258080321 is an apocalyptic number.

It is an amenable number.

58080321 is a deficient number, since it is larger than the sum of its proper divisors (40307199).

58080321 is a wasteful number, since it uses less digits than its factorization.

58080321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 58080321 is about 7621.0446134372. The cubic root of 58080321 is about 387.2662670921.

The spelling of 58080321 in words is "fifty-eight million, eighty thousand, three hundred twenty-one".

Divisors: 1 3 9 13 19 27 39 57 81 117 171 247 351 513 741 1053 1539 2223 2903 6669 8709 20007 26127 37739 55157 78381 113217 165471 235143 339651 496413 717041 1018953 1489239 2151123 3056859 4467717 6453369 19360107 58080321