Search a number
-
+
57436890 = 2357479571
BaseRepresentation
bin1101101100011…
…0101011011010
311000002002121020
43123012223122
5104200440030
65411023310
71265130330
oct333065332
9130062536
1057436890
112a470205
121729ab36
13bb90434
1478b1b50
155098510
hex36c6ada

57436890 has 64 divisors (see below), whose sum is σ = 158146560. Its totient is φ = 13078080.

The previous prime is 57436879. The next prime is 57436891. The reversal of 57436890 is 9863475.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (57436891) 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, 100305 + ... + 100875.

It is an arithmetic number, because the mean of its divisors is an integer number (2471040).

Almost surely, 257436890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57436890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79073280).

57436890 is an abundant number, since it is smaller than the sum of its proper divisors (100709670).

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

57436890 is a wasteful number, since it uses less digits than its factorization.

57436890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067.

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 57436890 is about 7578.7129514186. The cubic root of 57436890 is about 385.8308699121.

The spelling of 57436890 in words is "fifty-seven million, four hundred thirty-six thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 479 571 958 1142 1437 1713 2395 2855 2874 3353 3426 3997 4790 5710 6706 7185 7994 8565 10059 11991 14370 16765 17130 19985 20118 23982 33530 39970 50295 59955 100590 119910 273509 547018 820527 1367545 1641054 1914563 2735090 3829126 4102635 5743689 8205270 9572815 11487378 19145630 28718445 57436890