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57138005 = 537330637
BaseRepresentation
bin1101100111110…
…1101101010101
310222111220121102
43121331231111
5104111404010
65400355445
71262444051
oct331755525
9128456542
1057138005
112a2866a1
1217175b85
13bab7392
147834c61
155039ba5
hex367db55

57138005 has 8 divisors (see below), whose sum is σ = 68751672. Its totient is φ = 45586368.

The previous prime is 57137999. The next prime is 57138007. The reversal of 57138005 is 50083175.

It can be written as a sum of positive squares in 4 ways, for example, as 19695844 + 37442161 = 4438^2 + 6119^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 57138005 - 24 = 57137989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57138007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13454 + ... + 17183.

It is an arithmetic number, because the mean of its divisors is an integer number (8593959).

Almost surely, 257138005 is an apocalyptic number.

It is an amenable number.

57138005 is a deficient number, since it is larger than the sum of its proper divisors (11613667).

57138005 is a wasteful number, since it uses less digits than its factorization.

57138005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31015.

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 57138005 is about 7558.9685142882. The cubic root of 57138005 is about 385.1604548480.

The spelling of 57138005 in words is "fifty-seven million, one hundred thirty-eight thousand, five".

Divisors: 1 5 373 1865 30637 153185 11427601 57138005