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58130082 = 23319531069
BaseRepresentation
bin1101110110111…
…1111010100010
311001101022111000
43131233322202
5104340130312
65433532430
71304045313
oct335577242
9131338430
1058130082
112a8a3a9a
1217574116
13c073aca
147a1260a
155183adc
hex376fea2

58130082 has 64 divisors (see below), whose sum is σ = 138672000. Its totient is φ = 17993664.

The previous prime is 58130081. The next prime is 58130147. The reversal of 58130082 is 28003185.

It is a happy number.

58130082 is a `hidden beast` number, since 581 + 3 + 0 + 0 + 82 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (58130081) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 53844 + ... + 54912.

It is an arithmetic number, because the mean of its divisors is an integer number (2166750).

Almost surely, 258130082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58130082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69336000).

58130082 is an abundant number, since it is smaller than the sum of its proper divisors (80541918).

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

58130082 is a wasteful number, since it uses less digits than its factorization.

58130082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1146 counting only the distinct ones).

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

The square root of 58130082 is about 7624.3086243934. The cubic root of 58130082 is about 387.3768338355.

The spelling of 58130082 in words is "fifty-eight million, one hundred thirty thousand, eighty-two".

Divisors: 1 2 3 6 9 18 19 27 38 53 54 57 106 114 159 171 318 342 477 513 954 1007 1026 1069 1431 2014 2138 2862 3021 3207 6042 6414 9063 9621 18126 19242 20311 27189 28863 40622 54378 56657 57726 60933 113314 121866 169971 182799 339942 365598 509913 548397 1019826 1076483 1096794 1529739 2152966 3059478 3229449 6458898 9688347 19376694 29065041 58130082