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984428145 = 32521876181
BaseRepresentation
bin111010101011010…
…010111001110001
32112121101010112200
4322223102321301
54004003200040
6241403413413
733252333621
oct7253227161
92477333480
10984428145
11465758488
12235824269
13128c4747c
1494a56881
155b657630
hex3aad2e71

984428145 has 12 divisors (see below), whose sum is σ = 1706342196. Its totient is φ = 525028320.

The previous prime is 984428117. The next prime is 984428147. The reversal of 984428145 is 541824489.

984428145 is a `hidden beast` number, since 9 + 84 + 428 + 145 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 233722944 + 750705201 = 15288^2 + 27399^2 .

It is not a de Polignac number, because 984428145 - 27 = 984428017 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: 21876181 = 984428145 / (9 + 8 + 4 + 4 + 2 + 8 + 1 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 984428145.

It is not an unprimeable number, because it can be changed into a prime (984428147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10938046 + ... + 10938135.

It is an arithmetic number, because the mean of its divisors is an integer number (142195183).

Almost surely, 2984428145 is an apocalyptic number.

It is an amenable number.

984428145 is a deficient number, since it is larger than the sum of its proper divisors (721914051).

984428145 is a wasteful number, since it uses less digits than its factorization.

984428145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21876192 (or 21876189 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 984428145 is about 31375.5979225895. The cubic root of 984428145 is about 994.7822036198.

The spelling of 984428145 in words is "nine hundred eighty-four million, four hundred twenty-eight thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 21876181 65628543 109380905 196885629 328142715 984428145