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58270080 = 2735113189
BaseRepresentation
bin1101111001001…
…0000110000000
311001122102112010
43132102012000
5104404120310
65440532520
71305200421
oct336220600
9131572463
1058270080
112a98a1a0
1217621140
13c0c274b
147a4b648
1551b0320
hex3792180

58270080 has 256 divisors, whose sum is σ = 211507200. Its totient is φ = 13516800.

The previous prime is 58270057. The next prime is 58270103. The reversal of 58270080 is 8007285.

It is an interprime number because it is at equal distance from previous prime (58270057) and next prime (58270103).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654676 + ... + 654764.

It is an arithmetic number, because the mean of its divisors is an integer number (826200).

Almost surely, 258270080 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 58270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105753600).

58270080 is an abundant number, since it is smaller than the sum of its proper divisors (153237120).

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

58270080 is a wasteful number, since it uses less digits than its factorization.

58270080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 58270080 is about 7633.4841324260. The cubic root of 58270080 is about 387.6875651105.

The spelling of 58270080 in words is "fifty-eight million, two hundred seventy thousand, eighty".