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58255560 = 233251147313
BaseRepresentation
bin1101111000111…
…0100011001000
311001121200121100
43132032203020
5104403134220
65440341400
71305110166
oct336164310
9131550540
1058255560
112a97a2a0
1217614860
13c0b8c5c
147a46236
1551aad90
hex378e8c8

58255560 has 192 divisors, whose sum is σ = 211610880. Its totient is φ = 13777920.

The previous prime is 58255511. The next prime is 58255567. The reversal of 58255560 is 6555285.

58255560 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 not an unprimeable number, because it can be changed into a prime (58255567) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 185964 + ... + 186276.

It is an arithmetic number, because the mean of its divisors is an integer number (1102140).

Almost surely, 258255560 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 58255560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105805440).

58255560 is an abundant number, since it is smaller than the sum of its proper divisors (153355320).

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

58255560 is a wasteful number, since it uses less digits than its factorization.

58255560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The square root of 58255560 is about 7632.5330002562. The cubic root of 58255560 is about 387.6553605264.

The spelling of 58255560 in words is "fifty-eight million, two hundred fifty-five thousand, five hundred sixty".