Search a number
-
+
5255776584 = 233324332299
BaseRepresentation
bin1001110010100010…
…01100100101001000
3111120021200010002000
410321101030211020
541230434322314
62225305311000
7244146235542
oct47121144510
914507603060
105255776584
112257826813
121028195460
13659b44696
1437c042692
1520b62c209
hex13944c948

5255776584 has 32 divisors (see below), whose sum is σ = 14599380000. Its totient is φ = 1751925456.

The previous prime is 5255776577. The next prime is 5255776601. The reversal of 5255776584 is 4856775525.

5255776584 is a `hidden beast` number, since 5 + 2 + 5 + 57 + 7 + 6 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5255776584.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12165934 + ... + 12166365.

It is an arithmetic number, because the mean of its divisors is an integer number (456230625).

Almost surely, 25255776584 is an apocalyptic number.

5255776584 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5255776584 is an abundant number, since it is smaller than the sum of its proper divisors (9343603416).

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

5255776584 is a wasteful number, since it uses less digits than its factorization.

5255776584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24332314 (or 24332304 counting only the distinct ones).

The product of its digits is 11760000, while the sum is 54.

The square root of 5255776584 is about 72496.7349885497. The cubic root of 5255776584 is about 1738.6505351376.

The spelling of 5255776584 in words is "five billion, two hundred fifty-five million, seven hundred seventy-six thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 24332299 48664598 72996897 97329196 145993794 194658392 218990691 291987588 437981382 583975176 656972073 875962764 1313944146 1751925528 2627888292 5255776584