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57006005 = 575379389
BaseRepresentation
bin1101100101110…
…1011110110101
310222021012112112
43121131132311
5104043143010
65353500405
71261354160
oct331353665
9128235475
1057006005
112a1a6501
1217111705
13ba6c284
1477dcad7
155010a05
hex365d7b5

57006005 has 32 divisors (see below), whose sum is σ = 80870400. Its totient is φ = 37769472.

The previous prime is 57005999. The next prime is 57006007. The reversal of 57006005 is 50060075.

It is a cyclic number.

It is not a de Polignac number, because 57006005 - 212 = 57001909 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57006007) 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 31 ways as a sum of consecutive naturals, for example, 146351 + ... + 146739.

It is an arithmetic number, because the mean of its divisors is an integer number (2527200).

Almost surely, 257006005 is an apocalyptic number.

It is an amenable number.

57006005 is a deficient number, since it is larger than the sum of its proper divisors (23864395).

57006005 is a wasteful number, since it uses less digits than its factorization.

57006005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533.

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 57006005 is about 7550.2321156372. The cubic root of 57006005 is about 384.8636274188.

The spelling of 57006005 in words is "fifty-seven million, six thousand, five".

Divisors: 1 5 7 35 53 79 265 371 389 395 553 1855 1945 2723 2765 4187 13615 20617 20935 29309 30731 103085 144319 146545 153655 215117 721595 1075585 1628743 8143715 11401201 57006005