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58158144 = 26321167137
BaseRepresentation
bin1101110111011…
…0110001000000
311001102201222100
43131312301000
5104342030034
65434310400
71304223162
oct335666100
9131381870
1058158144
112a913090
1217588400
13c083805
147a1c932
15518c099
hex3776c40

58158144 has 168 divisors, whose sum is σ = 185915808. Its totient is φ = 17233920.

The previous prime is 58158101. The next prime is 58158157. The reversal of 58158144 is 44185185.

58158144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 58158099 and 58158108.

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 23 ways as a sum of consecutive naturals, for example, 424444 + ... + 424580.

Almost surely, 258158144 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 58158144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92957904).

58158144 is an abundant number, since it is smaller than the sum of its proper divisors (127757664).

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

58158144 is a wasteful number, since it uses less digits than its factorization.

58158144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 220 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 58158144 is about 7626.1487003598. The cubic root of 58158144 is about 387.4391585366.

The spelling of 58158144 in words is "fifty-eight million, one hundred fifty-eight thousand, one hundred forty-four".