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58100328 = 23351121319
BaseRepresentation
bin1101110110100…
…0101001101000
311001022210200000
43131220221220
5104333202303
65433143000
71303562466
oct335505150
9131283600
1058100328
112a883700
121755aa60
13c0633c0
147a05836
155179da3
hex3768a68

58100328 has 288 divisors, whose sum is σ = 203330400. Its totient is φ = 15396480.

The previous prime is 58100303. The next prime is 58100359. The reversal of 58100328 is 82300185.

It is a happy number.

58100328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×581003282 = 6751296227415168, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3057903 + ... + 3057921.

Almost surely, 258100328 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 58100328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101665200).

58100328 is an abundant number, since it is smaller than the sum of its proper divisors (145230072).

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

58100328 is a wasteful number, since it uses less digits than its factorization.

58100328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 48 counting only the distinct ones).

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

The square root of 58100328 is about 7622.3571157484. The cubic root of 58100328 is about 387.3107293505.

The spelling of 58100328 in words is "fifty-eight million, one hundred thousand, three hundred twenty-eight".