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58331412 = 22322959947
BaseRepresentation
bin1101111010000…
…1000100010100
311001202112122200
43132201010110
5104413101122
65442124500
71305544266
oct336410424
9131675580
1058331412
112aa21287
1217650730
13c114639
147a65b36
1551c35ac
hex37a1114

58331412 has 72 divisors (see below), whose sum is σ = 155282400. Its totient is φ = 18435648.

The previous prime is 58331393. The next prime is 58331417. The reversal of 58331412 is 21413385.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58331417) 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, 61123 + ... + 62069.

It is an arithmetic number, because the mean of its divisors is an integer number (2156700).

Almost surely, 258331412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58331412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77641200).

58331412 is an abundant number, since it is smaller than the sum of its proper divisors (96950988).

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

58331412 is a wasteful number, since it uses less digits than its factorization.

58331412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1040 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 58331412 is about 7637.5003764321. The cubic root of 58331412 is about 387.8235372152.

Adding to 58331412 its reverse (21413385), we get a palindrome (79744797).

The spelling of 58331412 in words is "fifty-eight million, three hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 59 87 116 118 174 177 236 261 348 354 522 531 708 947 1044 1062 1711 1894 2124 2841 3422 3788 5133 5682 6844 8523 10266 11364 15399 17046 20532 27463 30798 34092 54926 55873 61596 82389 109852 111746 164778 167619 223492 247167 329556 335238 494334 502857 670476 988668 1005714 1620317 2011428 3240634 4860951 6481268 9721902 14582853 19443804 29165706 58331412