Search a number
-
+
85857753 = 367795407
BaseRepresentation
bin1010001111000…
…01010111011001
312222120000200210
411013201113121
5133434422003
612304121333
72061531102
oct507412731
9188500623
1085857753
1144512223
1224906249
1314a31707
14b58d3a9
15780e503
hex51e15d9

85857753 has 16 divisors (see below), whose sum is σ = 117678080. Its totient is φ = 55660176.

The previous prime is 85857749. The next prime is 85857757. The reversal of 85857753 is 35775858.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85857749) and next prime (85857757).

It is not a de Polignac number, because 85857753 - 22 = 85857749 is a prime.

It is a super-3 number, since 3×858577533 (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (85857757) 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, 13176 + ... + 18582.

It is an arithmetic number, because the mean of its divisors is an integer number (7354880).

Almost surely, 285857753 is an apocalyptic number.

It is an amenable number.

85857753 is a deficient number, since it is larger than the sum of its proper divisors (31820327).

85857753 is a wasteful number, since it uses less digits than its factorization.

85857753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5556.

The product of its digits is 1176000, while the sum is 48.

The square root of 85857753 is about 9265.9458772432. The cubic root of 85857753 is about 441.1569980038.

The spelling of 85857753 in words is "eighty-five million, eight hundred fifty-seven thousand, seven hundred fifty-three".

Divisors: 1 3 67 79 201 237 5293 5407 15879 16221 362269 427153 1086807 1281459 28619251 85857753