Search a number
-
+
45731456 = 27615857
BaseRepresentation
bin1010111001110…
…0111010000000
310012001101202122
42232130322000
543201401311
64312103412
71063465601
oct256347200
9105041678
1045731456
11238a57a1
1213394b68
139622544
146105da8
1540350db
hex2b9ce80

45731456 has 32 divisors (see below), whose sum is σ = 92614980. Its totient is φ = 22487040.

The previous prime is 45731449. The next prime is 45731467. The reversal of 45731456 is 65413754.

It can be written as a sum of positive squares in 2 ways, for example, as 45697600 + 33856 = 6760^2 + 184^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4880 + ... + 10736.

Almost surely, 245731456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45731456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46307490).

45731456 is an abundant number, since it is smaller than the sum of its proper divisors (46883524).

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

45731456 is an equidigital number, since it uses as much as digits as its factorization.

45731456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5932 (or 5920 counting only the distinct ones).

The product of its digits is 50400, while the sum is 35.

The square root of 45731456 is about 6762.5036783724. The cubic root of 45731456 is about 357.6061751240.

It can be divided in two parts, 457 and 31456, that added together give a palindrome (31913).

The spelling of 45731456 in words is "forty-five million, seven hundred thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1952 3904 5857 7808 11714 23428 46856 93712 187424 357277 374848 714554 749696 1429108 2858216 5716432 11432864 22865728 45731456