Search a number
-
+
3250575640 = 2351337316759
BaseRepresentation
bin1100000110111111…
…1101100100011000
322101112112100111101
43001233331210120
523124121410030
61254315041144
7143360302624
oct30157754430
98345470441
103250575640
111418957654
127687401b4
133ca598c50
1422b9d2184
1514058d7ca
hexc1bfd918

3250575640 has 64 divisors (see below), whose sum is σ = 7897982400. Its totient is φ = 1196923392.

The previous prime is 3250575637. The next prime is 3250575683. The reversal of 3250575640 is 465750523.

It is a super-2 number, since 2×32505756402 = 21132483982722819200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3250575640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185581 + ... + 202339.

It is an arithmetic number, because the mean of its divisors is an integer number (123405975).

Almost surely, 23250575640 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 3250575640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3948991200).

3250575640 is an abundant number, since it is smaller than the sum of its proper divisors (4647406760).

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

3250575640 is a wasteful number, since it uses less digits than its factorization.

3250575640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17156 (or 17152 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 37.

The square root of 3250575640 is about 57013.8197282027. The cubic root of 3250575640 is about 1481.3354819249.

The spelling of 3250575640 in words is "three billion, two hundred fifty million, five hundred seventy-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 373 520 746 1492 1865 2984 3730 4849 7460 9698 14920 16759 19396 24245 33518 38792 48490 67036 83795 96980 134072 167590 193960 217867 335180 435734 670360 871468 1089335 1742936 2178670 4357340 6251107 8714680 12502214 25004428 31255535 50008856 62511070 81264391 125022140 162528782 250044280 325057564 406321955 650115128 812643910 1625287820 3250575640