Search a number
-
+
57305963 = 11213172143
BaseRepresentation
bin1101101010011…
…0101101101011
310222211110000002
43122212231223
5104132242323
65404133215
71264043531
oct332465553
9128743002
1057305963
112a390900
121723720b
13bb45970
14787a151
15506e828
hex36a6b6b

57305963 has 24 divisors (see below), whose sum is σ = 71858304. Its totient is φ = 45239040.

The previous prime is 57305917. The next prime is 57305977. The reversal of 57305963 is 36950375.

It is not a de Polignac number, because 57305963 - 216 = 57240427 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57305263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25670 + ... + 27812.

It is an arithmetic number, because the mean of its divisors is an integer number (2994096).

Almost surely, 257305963 is an apocalyptic number.

57305963 is a deficient number, since it is larger than the sum of its proper divisors (14552341).

57305963 is a wasteful number, since it uses less digits than its factorization.

57305963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 38.

The square root of 57305963 is about 7570.0702110350. The cubic root of 57305963 is about 385.5374805917.

The spelling of 57305963 in words is "fifty-seven million, three hundred five thousand, nine hundred sixty-three".

Divisors: 1 11 13 17 121 143 187 221 1573 2057 2143 2431 23573 26741 27859 36431 259303 306449 400741 473603 3370939 4408151 5209633 57305963