Search a number
-
+
5258765772 = 22321311236679
BaseRepresentation
bin1001110010111001…
…00110010111001100
3111120111021222110200
410321130212113030
541232221001042
62225453333500
7244213525431
oct47134462714
914514258420
105258765772
112259488617
121029197290
1365a650130
1437c5bdb88
1520ba1cc4c
hex1397265cc

5258765772 has 36 divisors (see below), whose sum is σ = 14315530320. Its totient is φ = 1618081632.

The previous prime is 5258765767. The next prime is 5258765791. The reversal of 5258765772 is 2775678525.

5258765772 is a `hidden beast` number, since 5 + 2 + 587 + 6 + 57 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 5617872 + ... + 5618807.

It is an arithmetic number, because the mean of its divisors is an integer number (397653620).

Almost surely, 25258765772 is an apocalyptic number.

5258765772 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

5258765772 is an abundant number, since it is smaller than the sum of its proper divisors (9056764548).

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

5258765772 is a wasteful number, since it uses less digits than its factorization.

5258765772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11236702 (or 11236697 counting only the distinct ones).

The product of its digits is 8232000, while the sum is 54.

The square root of 5258765772 is about 72517.3480761673. The cubic root of 5258765772 is about 1738.9800879806.

The spelling of 5258765772 in words is "five billion, two hundred fifty-eight million, seven hundred sixty-five thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 11236679 22473358 33710037 44946716 67420074 101130111 134840148 146076827 202260222 292153654 404520444 438230481 584307308 876460962 1314691443 1752921924 2629382886 5258765772