Search a number
-
+
769113408 = 26372292819
BaseRepresentation
bin101101110101111…
…011110101000000
31222121020000020210
4231311323311000
53033343112113
6204152434120
725026233100
oct5565736500
91877200223
10769113408
11365165318
121956a8940
13c345a4bb
1474209200
15477c56c3
hex2dd7bd40

769113408 has 168 divisors, whose sum is σ = 2449677600. Its totient is φ = 212093952.

The previous prime is 769113403. The next prime is 769113431. The reversal of 769113408 is 804311967.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (769113403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 271423 + ... + 274241.

Almost surely, 2769113408 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 769113408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224838800).

769113408 is an abundant number, since it is smaller than the sum of its proper divisors (1680564192).

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

769113408 is a wasteful number, since it uses less digits than its factorization.

769113408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 769113408 is about 27732.8939708787. The cubic root of 769113408 is about 916.2137268803.

The spelling of 769113408 in words is "seven hundred sixty-nine million, one hundred thirteen thousand, four hundred eight".