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58084992 = 273375
BaseRepresentation
bin1101110110010…
…0111010000000
311001022000122000
43131210322000
5104332204432
65432544000
71303500000
oct335447200
9131260560
1058084992
112a873129
1217552000
13c059424
147a00000
15517557c
hex3764e80

58084992 has 192 divisors, whose sum is σ = 200001600. Its totient is φ = 16595712.

The previous prime is 58084991. The next prime is 58085009. The reversal of 58084992 is 29948085.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (58084991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8297853 + ... + 8297859.

It is an arithmetic number, because the mean of its divisors is an integer number (1041675).

Almost surely, 258084992 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 58084992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100000800).

58084992 is an abundant number, since it is smaller than the sum of its proper divisors (141916608).

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

58084992 is an frugal number, since it uses more digits than its factorization.

58084992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 58084992 is about 7621.3510613276. The cubic root of 58084992 is about 387.2766485329.

The spelling of 58084992 in words is "fifty-eight million, eighty-four thousand, nine hundred ninety-two".