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817950145 = 5893318313
BaseRepresentation
bin110000110000001…
…110110111000001
32010000010011122211
4300300032313001
53133343401040
6213055302121
726161314205
oct6060166701
92100104584
10817950145
1138a791061
121a9b1a941
131005c928c
147a8bcb05
154bc208ea
hex30c0edc1

817950145 has 8 divisors (see below), whose sum is σ = 981703656. Its totient is φ = 654251136.

The previous prime is 817950131. The next prime is 817950163. The reversal of 817950145 is 541059718.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2961841 + 814988304 = 1721^2 + 28548^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 817950145 - 223 = 809561537 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 817950098 and 817950107.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 35509 + ... + 53821.

It is an arithmetic number, because the mean of its divisors is an integer number (122712957).

Almost surely, 2817950145 is an apocalyptic number.

It is an amenable number.

817950145 is a deficient number, since it is larger than the sum of its proper divisors (163753511).

817950145 is a wasteful number, since it uses less digits than its factorization.

817950145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27251.

The product of its (nonzero) digits is 50400, while the sum is 40.

The square root of 817950145 is about 28599.8277092713. The cubic root of 817950145 is about 935.2095748770.

The spelling of 817950145 in words is "eight hundred seventeen million, nine hundred fifty thousand, one hundred forty-five".

Divisors: 1 5 8933 18313 44665 91565 163590029 817950145