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58225280 = 27590977
BaseRepresentation
bin1101111000011…
…1001010000000
311001120011001212
43132013022000
5104401202110
65435545252
71304623001
oct336071200
9131504055
1058225280
112a959573
12175bb228
13c0a8239
147a391a8
1551a1e05
hex3787280

58225280 has 32 divisors (see below), whose sum is σ = 139196340. Its totient is φ = 23289856.

The previous prime is 58225267. The next prime is 58225283. The reversal of 58225280 is 8252285.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 51955264 + 6270016 = 7208^2 + 2504^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (58225283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44849 + ... + 46128.

Almost surely, 258225280 is an apocalyptic number.

It is an amenable number.

58225280 is an abundant number, since it is smaller than the sum of its proper divisors (80971060).

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

58225280 is an equidigital number, since it uses as much as digits as its factorization.

58225280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90996 (or 90984 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The square root of 58225280 is about 7630.5491283393. The cubic root of 58225280 is about 387.5881838846.

The spelling of 58225280 in words is "fifty-eight million, two hundred twenty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 90977 181954 363908 454885 727816 909770 1455632 1819540 2911264 3639080 5822528 7278160 11645056 14556320 29112640 58225280