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398120985 = 3258847133
BaseRepresentation
bin10111101110101…
…101100000011001
31000202010122022200
4113232231200121
51303404332420
6103301040413
712602654403
oct2756554031
91022118280
10398120985
11194802209
12b13b6109
1364634262
143ac35b73
1524e41b90
hex17bad819

398120985 has 12 divisors (see below), whose sum is σ = 690076452. Its totient is φ = 212331168.

The previous prime is 398120971. The next prime is 398121023. The reversal of 398120985 is 589021893.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 75846681 + 322274304 = 8709^2 + 17952^2 .

It is not a de Polignac number, because 398120985 - 24 = 398120969 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 8847133 = 398120985 / (3 + 9 + 8 + 1 + 2 + 0 + 9 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 398120985.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4423522 + ... + 4423611.

It is an arithmetic number, because the mean of its divisors is an integer number (57506371).

Almost surely, 2398120985 is an apocalyptic number.

It is an amenable number.

398120985 is a deficient number, since it is larger than the sum of its proper divisors (291955467).

398120985 is a wasteful number, since it uses less digits than its factorization.

398120985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8847144 (or 8847141 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 398120985 is about 19952.9693278970. The cubic root of 398120985 is about 735.6507633686.

The spelling of 398120985 in words is "three hundred ninety-eight million, one hundred twenty thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 45 8847133 26541399 44235665 79624197 132706995 398120985