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58145850 = 2345272293
BaseRepresentation
bin1101110111001…
…1110000111010
311001102010010000
43131303300322
5104341131400
65434133430
71304142300
oct335636072
9131363100
1058145850
112a904924
1217581276
13c07b039
147a18270
155188600
hex3773c3a

58145850 has 180 divisors, whose sum is σ = 188577774. Its totient is φ = 13245120.

The previous prime is 58145837. The next prime is 58145861. The reversal of 58145850 is 5854185.

It can be written as a sum of positive squares in 3 ways, for example, as 54331641 + 3814209 = 7371^2 + 1953^2 .

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 198304 + ... + 198596.

Almost surely, 258145850 is an apocalyptic number.

58145850 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 58145850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94288887).

58145850 is an abundant number, since it is smaller than the sum of its proper divisors (130431924).

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

58145850 is a wasteful number, since it uses less digits than its factorization.

58145850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 58145850 is about 7625.3426152534. The cubic root of 58145850 is about 387.4118564693.

It can be divided in two parts, 5814 and 5850, that added together give a square (11664 = 1082).

The spelling of 58145850 in words is "fifty-eight million, one hundred forty-five thousand, eight hundred fifty".