Search a number
-
+
3250541504 = 26746315671
BaseRepresentation
bin1100000110111111…
…0101001111000000
322101112110121200002
43001233311033000
523124114312004
61254314215132
7143360101250
oct30157651700
98345417602
103250541504
111418933a41
127687244a8
133ca586552
1422b9c3960
1514058361e
hexc1bf53c0

3250541504 has 56 divisors (see below), whose sum is σ = 7388156928. Its totient is φ = 1389991680.

The previous prime is 3250541417. The next prime is 3250541507. The reversal of 3250541504 is 4051450523.

3250541504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3250541507) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199589 + ... + 215259.

Almost surely, 23250541504 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 3250541504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694078464).

3250541504 is an abundant number, since it is smaller than the sum of its proper divisors (4137615424).

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

3250541504 is a wasteful number, since it uses less digits than its factorization.

3250541504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16153 (or 16143 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 3250541504 is about 57013.5203614020. The cubic root of 3250541504 is about 1481.3302964798.

The spelling of 3250541504 in words is "three billion, two hundred fifty million, five hundred forty-one thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 463 926 1852 3241 3704 6482 7408 12964 14816 15671 25928 29632 31342 51856 62684 103712 109697 125368 207424 219394 250736 438788 501472 877576 1002944 1755152 3510304 7020608 7255673 14511346 29022692 50789711 58045384 101579422 116090768 203158844 232181536 406317688 464363072 812635376 1625270752 3250541504