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57132306 = 23271141221
BaseRepresentation
bin1101100111110…
…0010100010010
310222111121210100
43121330110102
5104111213211
65400313230
71262421330
oct331742422
9128447710
1057132306
112a282390
1217172816
13bab48ca
147832b50
155038156
hex367c512

57132306 has 48 divisors (see below), whose sum is σ = 154335168. Its totient is φ = 14839200.

The previous prime is 57132301. The next prime is 57132319. The reversal of 57132306 is 60323175.

It is a happy number.

57132306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 57132306.

It is not an unprimeable number, because it can be changed into a prime (57132301) 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 23 ways as a sum of consecutive naturals, for example, 19225 + ... + 21996.

It is an arithmetic number, because the mean of its divisors is an integer number (3215316).

Almost surely, 257132306 is an apocalyptic number.

57132306 is an abundant number, since it is smaller than the sum of its proper divisors (97202862).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57132306 is a wasteful number, since it uses less digits than its factorization.

57132306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41247 (or 41244 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 57132306 is about 7558.5915354648. The cubic root of 57132306 is about 385.1476489965.

The spelling of 57132306 in words is "fifty-seven million, one hundred thirty-two thousand, three hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 41221 82442 123663 247326 288547 370989 453431 577094 741978 865641 906862 1360293 1731282 2596923 2720586 3174017 4080879 5193846 6348034 8161758 9522051 19044102 28566153 57132306