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57005311 = 1131349479
BaseRepresentation
bin1101100101110…
…1010011111111
310222021011120211
43121131103333
5104043132221
65353453251
71261352146
oct331352377
9128234524
1057005311
112a1a5a30
1217111227
13ba6bb6c
1477dc75d
1550106e1
hex365d4ff

57005311 has 16 divisors (see below), whose sum is σ = 64512000. Its totient is φ = 49903200.

The previous prime is 57005297. The next prime is 57005317. The reversal of 57005311 is 11350075.

It is a cyclic number.

It is not a de Polignac number, because 57005311 - 25 = 57005279 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 (57005317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118770 + ... + 119248.

It is an arithmetic number, because the mean of its divisors is an integer number (4032000).

Almost surely, 257005311 is an apocalyptic number.

57005311 is a deficient number, since it is larger than the sum of its proper divisors (7506689).

57005311 is a wasteful number, since it uses less digits than its factorization.

57005311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870.

The product of its (nonzero) digits is 525, while the sum is 22.

The square root of 57005311 is about 7550.1861566454. The cubic root of 57005311 is about 384.8620656158.

Adding to 57005311 its reverse (11350075), we get a palindrome (68355386).

It can be divided in two parts, 5700 and 5311, that added together give a palindrome (11011).

The spelling of 57005311 in words is "fifty-seven million, five thousand, three hundred eleven".

Divisors: 1 11 31 341 349 479 3839 5269 10819 14849 119009 163339 167171 1838881 5182301 57005311