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766046016 = 26321329941
BaseRepresentation
bin101101101010001…
…110111101000000
31222101110011120200
4231222032331000
53032101433031
6204003005200
724661166211
oct5552167500
91871404520
10766046016
1136345a78a
12194669800
13c2925288
1473a4b408
15473bb8e6
hex2da8ef40

766046016 has 42 divisors (see below), whose sum is σ = 2195734242. Its totient is φ = 255348480.

The previous prime is 766046011. The next prime is 766046023. The reversal of 766046016 is 610640667.

766046016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 420086016 + 345960000 = 20496^2 + 18600^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766046011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 664395 + ... + 665546.

Almost surely, 2766046016 is an apocalyptic number.

It is an amenable number.

766046016 is an abundant number, since it is smaller than the sum of its proper divisors (1429688226).

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

766046016 is a wasteful number, since it uses less digits than its factorization.

766046016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329959 (or 1329946 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 766046016 is about 27677.5363065429. The cubic root of 766046016 is about 914.9940839893.

The spelling of 766046016 in words is "seven hundred sixty-six million, forty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1329941 2659882 3989823 5319764 7979646 10639528 11969469 15959292 21279056 23938938 31918584 42558112 47877876 63837168 85116224 95755752 127674336 191511504 255348672 383023008 766046016