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57906945 = 3251286821
BaseRepresentation
bin1101110011100…
…1011100000001
311000221222101200
43130321130001
5104311010240
65425051413
71302125625
oct334713401
9130858350
1057906945
112a761388
1217486b69
13bcc6385
147995185
15513c930
hex3739701

57906945 has 12 divisors (see below), whose sum is σ = 100372116. Its totient is φ = 30883680.

The previous prime is 57906943. The next prime is 57906949. The reversal of 57906945 is 54960975.

It is a happy number.

57906945 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 22014864 + 35892081 = 4692^2 + 5991^2 .

It is not a de Polignac number, because 57906945 - 21 = 57906943 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 1286821 = 57906945 / (5 + 7 + 9 + 0 + 6 + 9 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 57906945.

It is not an unprimeable number, because it can be changed into a prime (57906943) 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 11 ways as a sum of consecutive naturals, for example, 643366 + ... + 643455.

It is an arithmetic number, because the mean of its divisors is an integer number (8364343).

Almost surely, 257906945 is an apocalyptic number.

It is an amenable number.

57906945 is a deficient number, since it is larger than the sum of its proper divisors (42465171).

57906945 is a wasteful number, since it uses less digits than its factorization.

57906945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286832 (or 1286829 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 57906945 is about 7609.6612933822. The cubic root of 57906945 is about 386.8805392153.

57906945 divided by its sum of digits (45) gives a palindrome (1286821).

The spelling of 57906945 in words is "fifty-seven million, nine hundred six thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 45 1286821 3860463 6434105 11581389 19302315 57906945