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57712005 = 32513472099
BaseRepresentation
bin1101110000100…
…1110110000101
311000121001222200
43130021312011
5104233241010
65420545113
71300354401
oct334116605
9130531880
1057712005
112a63897a
12173b2199
13bc58720
147944101
1550eecc0
hex3709d85

57712005 has 48 divisors (see below), whose sum is σ = 110073600. Its totient is φ = 27794304.

The previous prime is 57711989. The next prime is 57712007. The reversal of 57712005 is 50021775.

57712005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57712005 - 24 = 57711989 is a prime.

It is a super-2 number, since 2×577120052 = 6661351042240050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57712005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57712007) 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 47 ways as a sum of consecutive naturals, for example, 26446 + ... + 28544.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 257712005 is an apocalyptic number.

It is an amenable number.

57712005 is a deficient number, since it is larger than the sum of its proper divisors (52361595).

57712005 is a wasteful number, since it uses less digits than its factorization.

57712005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 57712005 is about 7596.8417780022. The cubic root of 57712005 is about 386.4459150008.

It can be divided in two parts, 5771 and 2005, that added together give a 5-th power (7776 = 65).

The spelling of 57712005 in words is "fifty-seven million, seven hundred twelve thousand, five".

Divisors: 1 3 5 9 13 15 39 45 47 65 117 141 195 235 423 585 611 705 1833 2099 2115 3055 5499 6297 9165 10495 18891 27287 27495 31485 81861 94455 98653 136435 245583 295959 409305 493265 887877 1227915 1282489 1479795 3847467 4439385 6412445 11542401 19237335 57712005