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916315506 = 23250906417
BaseRepresentation
bin110110100111011…
…101110101110010
32100212012122120100
4312213131311302
53334034044011
6230531453230
731464360531
oct6647356562
92325178510
10916315506
11430266447
12216a57216
13117ab9a32
14899a6318
15556a0d56
hex369ddd72

916315506 has 12 divisors (see below), whose sum is σ = 1985350302. Its totient is φ = 305438496.

The previous prime is 916315483. The next prime is 916315507. The reversal of 916315506 is 605513619.

916315506 is a `hidden beast` number, since 91 + 63 + 1 + 5 + 506 = 666.

It can be written as a sum of positive squares in only one way, i.e., 803212281 + 113103225 = 28341^2 + 10635^2 .

It is not an unprimeable number, because it can be changed into a prime (916315507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25453191 + ... + 25453226.

Almost surely, 2916315506 is an apocalyptic number.

916315506 is an abundant number, since it is smaller than the sum of its proper divisors (1069034796).

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

916315506 is a wasteful number, since it uses less digits than its factorization.

916315506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50906425 (or 50906422 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 916315506 is about 30270.7037579241. The cubic root of 916315506 is about 971.2887203498.

The spelling of 916315506 in words is "nine hundred sixteen million, three hundred fifteen thousand, five hundred six".

Divisors: 1 2 3 6 9 18 50906417 101812834 152719251 305438502 458157753 916315506