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58286816 = 257260209
BaseRepresentation
bin1101111001011…
…0001011100000
311001200021110222
43132112023200
5104410134231
65441142212
71305300260
oct336261340
9131607428
1058286816
112a9a0825
121762a968
13c0ca253
147a537a0
1551b527b
hex37962e0

58286816 has 24 divisors (see below), whose sum is σ = 131145840. Its totient is φ = 24979968.

The previous prime is 58286759. The next prime is 58286819. The reversal of 58286816 is 61868285.

58286816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58286819) 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 3 ways as a sum of consecutive naturals, for example, 129881 + ... + 130328.

It is an arithmetic number, because the mean of its divisors is an integer number (5464410).

Almost surely, 258286816 is an apocalyptic number.

58286816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

58286816 is an abundant number, since it is smaller than the sum of its proper divisors (72859024).

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

58286816 is a wasteful number, since it uses less digits than its factorization.

58286816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260226 (or 260218 counting only the distinct ones).

The product of its digits is 184320, while the sum is 44.

The square root of 58286816 is about 7634.5802766098. The cubic root of 58286816 is about 387.7246780280.

The spelling of 58286816 in words is "fifty-eight million, two hundred eighty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 260209 520418 1040836 1821463 2081672 3642926 4163344 7285852 8326688 14571704 29143408 58286816