Search a number
-
+
57128058 = 23313174787
BaseRepresentation
bin1101100111101…
…1010001111010
310222111101222000
43121323101322
5104111044213
65400241430
71262403051
oct331732172
9128441860
1057128058
112a27a179
1217170276
13bab29b0
147831398
155036c73
hex367b47a

57128058 has 64 divisors (see below), whose sum is σ = 144789120. Its totient is φ = 16540416.

The previous prime is 57128017. The next prime is 57128059. The reversal of 57128058 is 85082175.

57128058 is a `hidden beast` number, since 571 + 2 + 80 + 5 + 8 = 666.

It is a super-3 number, since 3×571280583 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (57128059) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9541 + ... + 14327.

It is an arithmetic number, because the mean of its divisors is an integer number (2262330).

Almost surely, 257128058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57128058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72394560).

57128058 is an abundant number, since it is smaller than the sum of its proper divisors (87661062).

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

57128058 is a wasteful number, since it uses less digits than its factorization.

57128058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4828 (or 4822 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 57128058 is about 7558.3105255077. The cubic root of 57128058 is about 385.1381030386.

The spelling of 57128058 in words is "fifty-seven million, one hundred twenty-eight thousand, fifty-eight".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 221 234 306 351 442 459 663 702 918 1326 1989 3978 4787 5967 9574 11934 14361 28722 43083 62231 81379 86166 124462 129249 162758 186693 244137 258498 373386 488274 560079 732411 1057927 1120158 1464822 1680237 2115854 2197233 3173781 3360474 4394466 6347562 9521343 19042686 28564029 57128058