Search a number
-
+
5745258 = 23219107157
BaseRepresentation
bin10101111010101001101010
3101210220000100
4111322221222
52432322013
6323050230
766556011
oct25725152
911726010
105745258
113274552
121b10976
13126207c
14a97a78
15787473
hex57aa6a

5745258 has 48 divisors (see below), whose sum is σ = 13309920. Its totient is φ = 1785888.

The previous prime is 5745251. The next prime is 5745263. The reversal of 5745258 is 8525475.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5745251) 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 23 ways as a sum of consecutive naturals, for example, 36516 + ... + 36672.

It is an arithmetic number, because the mean of its divisors is an integer number (277290).

Almost surely, 25745258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5745258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6654960).

5745258 is an abundant number, since it is smaller than the sum of its proper divisors (7564662).

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

5745258 is a wasteful number, since it uses less digits than its factorization.

5745258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 288 counting only the distinct ones).

The product of its digits is 56000, while the sum is 36.

The square root of 5745258 is about 2396.9267823611. The cubic root of 5745258 is about 179.1031312728.

It can be divided in two parts, 574 and 5258, that added together give a cube (5832 = 183).

The spelling of 5745258 in words is "five million, seven hundred forty-five thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 9 18 19 38 57 107 114 157 171 214 314 321 342 471 642 942 963 1413 1926 2033 2826 2983 4066 5966 6099 8949 12198 16799 17898 18297 26847 33598 36594 50397 53694 100794 151191 302382 319181 638362 957543 1915086 2872629 5745258