Search a number
-
+
5971393248 = 253292144897
BaseRepresentation
bin1011000111110110…
…00011101011100000
3120102011020012120220
411203323003223200
544212134040443
62424311403040
7300656001522
oct54373035340
916364205526
105971393248
112594772147
1211a7983480
13742190cb2
144090c3a12
1524e386a83
hex163ec3ae0

5971393248 has 48 divisors (see below), whose sum is σ = 16215428880. Its totient is φ = 1921826816.

The previous prime is 5971393231. The next prime is 5971393261. The reversal of 5971393248 is 8423931795.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5971393248.

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 7 ways as a sum of consecutive naturals, for example, 1069665 + ... + 1075232.

It is an arithmetic number, because the mean of its divisors is an integer number (337821435).

Almost surely, 25971393248 is an apocalyptic number.

5971393248 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

5971393248 is an abundant number, since it is smaller than the sum of its proper divisors (10244035632).

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

5971393248 is a wasteful number, since it uses less digits than its factorization.

5971393248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144939 (or 2144931 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The square root of 5971393248 is about 77274.7905076423. The cubic root of 5971393248 is about 1814.2281066841.

The spelling of 5971393248 in words is "five billion, nine hundred seventy-one million, three hundred ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 2144897 4289794 6434691 8579588 12869382 17159176 25738764 34318352 51477528 62202013 68636704 102955056 124404026 186606039 205910112 248808052 373212078 497616104 746424156 995232208 1492848312 1990464416 2985696624 5971393248