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58534016 = 27557821
BaseRepresentation
bin1101111101001…
…0100010000000
311002010211120112
43133102202000
5104441042031
65450330452
71310350052
oct337224200
9132124515
1058534016
113004a522
1217729a28
13c185918
147ab98d2
15521362b
hex37d2880

58534016 has 32 divisors (see below), whose sum is σ = 116962380. Its totient is φ = 29178880.

The previous prime is 58534013. The next prime is 58534061. The reversal of 58534016 is 61043585.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 51265600 + 7268416 = 7160^2 + 2696^2 .

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 (58534013) 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, 70886 + ... + 71706.

Almost surely, 258534016 is an apocalyptic number.

It is an amenable number.

58534016 is a deficient number, since it is larger than the sum of its proper divisors (58428364).

58534016 is an equidigital number, since it uses as much as digits as its factorization.

58534016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 58534016 is about 7650.7526427143. The cubic root of 58534016 is about 388.2720308635.

The spelling of 58534016 in words is "fifty-eight million, five hundred thirty-four thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 128 557 821 1114 1642 2228 3284 4456 6568 8912 13136 17824 26272 35648 52544 71296 105088 457297 914594 1829188 3658376 7316752 14633504 29267008 58534016