Search a number
-
+
57970305 = 325372941
BaseRepresentation
bin1101110100100…
…0111010000001
311001002012022100
43131020322001
5104320022210
65430301013
71302511431
oct335107201
9131065270
1057970305
112a7a4a48
12174b7769
13c019173
1479b02c1
1551515c0
hex3748e81

57970305 has 36 divisors (see below), whose sum is σ = 103380732. Its totient is φ = 30049920.

The previous prime is 57970301. The next prime is 57970309. The reversal of 57970305 is 50307975.

It is an interprime number because it is at equal distance from previous prime (57970301) and next prime (57970309).

It can be written as a sum of positive squares in 6 ways, for example, as 10732176 + 47238129 = 3276^2 + 6873^2 .

It is not a de Polignac number, because 57970305 - 22 = 57970301 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57970305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57970301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61135 + ... + 62075.

It is an arithmetic number, because the mean of its divisors is an integer number (2871687).

Almost surely, 257970305 is an apocalyptic number.

It is an amenable number.

57970305 is a deficient number, since it is larger than the sum of its proper divisors (45410427).

57970305 is a wasteful number, since it uses less digits than its factorization.

57970305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 33075, while the sum is 36.

The square root of 57970305 is about 7613.8232840013. The cubic root of 57970305 is about 387.0215920489.

Subtracting from 57970305 its product of nonzero digits (33075), we obtain a triangular number (57937230 = T10764).

The spelling of 57970305 in words is "fifty-seven million, nine hundred seventy thousand, three hundred five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 941 1369 1665 2823 4107 4705 6845 8469 12321 14115 20535 34817 42345 61605 104451 174085 313353 522255 1288229 1566765 3864687 6441145 11594061 19323435 57970305