Search a number
-
+
766765056 = 2113124799
BaseRepresentation
bin101101101100111…
…110100000000000
31222102210200220210
4231230332200000
53032242440211
6204030234120
725000252431
oct5554764000
91872720823
10766765056
11363900a32
12194955940
13c2b17645
1473b97488
15474ae9a6
hex2db3e800

766765056 has 48 divisors (see below), whose sum is σ = 2044224000. Its totient is φ = 255586304.

The previous prime is 766765049. The next prime is 766765057. The reversal of 766765056 is 650567667.

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

It is a super-2 number, since 2×7667650562 = 1175857302205366272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 766764996 and 766765014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766765057) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 56256 + ... + 68543.

It is an arithmetic number, because the mean of its divisors is an integer number (42588000).

Almost surely, 2766765056 is an apocalyptic number.

It is an amenable number.

766765056 is an abundant number, since it is smaller than the sum of its proper divisors (1277458944).

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

766765056 is a wasteful number, since it uses less digits than its factorization.

766765056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124824 (or 124804 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 48.

The square root of 766765056 is about 27690.5228553020. The cubic root of 766765056 is about 915.2802772427.

The spelling of 766765056 in words is "seven hundred sixty-six million, seven hundred sixty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 124799 249598 374397 499196 748794 998392 1497588 1996784 2995176 3993568 5990352 7987136 11980704 15974272 23961408 31948544 47922816 63897088 95845632 127794176 191691264 255588352 383382528 766765056