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58665040 = 2457104759
BaseRepresentation
bin1101111111001…
…0100001010000
311002101111022021
43133302201100
5110004240130
65453221224
71311434050
oct337624120
9132344267
1058665040
1130129a05
1217791814
13c200455
147b11560
15523c37a
hex37f2850

58665040 has 40 divisors (see below), whose sum is σ = 155882880. Its totient is φ = 20113536.

The previous prime is 58665023. The next prime is 58665049. The reversal of 58665040 is 4056685.

58665040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 58664987 and 58665005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58665049) 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 7 ways as a sum of consecutive naturals, for example, 51820 + ... + 52939.

It is an arithmetic number, because the mean of its divisors is an integer number (3897072).

Almost surely, 258665040 is an apocalyptic number.

It is an amenable number.

58665040 is an abundant number, since it is smaller than the sum of its proper divisors (97217840).

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

58665040 is a wasteful number, since it uses less digits than its factorization.

58665040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104779 (or 104773 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 58665040 is about 7659.3106739445. The cubic root of 58665040 is about 388.5615209000.

The spelling of 58665040 in words is "fifty-eight million, six hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 104759 209518 419036 523795 733313 838072 1047590 1466626 1676144 2095180 2933252 3666565 4190360 5866504 7333130 8380720 11733008 14666260 29332520 58665040