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58132144 = 247519037
BaseRepresentation
bin1101110111000…
…0011010110000
311001101102022101
43131300122300
5104340212034
65433550144
71304054320
oct335603260
9131342271
1058132144
112a8a55a4
1217575354
13c074a25
147a13280
155184514
hex37706b0

58132144 has 20 divisors (see below), whose sum is σ = 128721424. Its totient is φ = 24913728.

The previous prime is 58132141. The next prime is 58132159. The reversal of 58132144 is 44123185.

58132144 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 (28).

It is not an unprimeable number, because it can be changed into a prime (58132141) 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, 259407 + ... + 259630.

Almost surely, 258132144 is an apocalyptic number.

It is an amenable number.

58132144 is an abundant number, since it is smaller than the sum of its proper divisors (70589280).

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

58132144 is a wasteful number, since it uses less digits than its factorization.

58132144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519052 (or 519046 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 58132144 is about 7624.4438485702. The cubic root of 58132144 is about 387.3814141467.

The spelling of 58132144 in words is "fifty-eight million, one hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 519037 1038074 2076148 3633259 4152296 7266518 8304592 14533036 29066072 58132144