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510153093 = 3318894559
BaseRepresentation
bin11110011010000…
…101000110000101
31022112221110111000
4132122011012011
52021044344333
6122342203513
715433141542
oct3632050605
91275843430
10510153093
11241a7162a
12122a23599
13818cb548
144ba79bc9
152ebc1713
hex1e685185

510153093 has 8 divisors (see below), whose sum is σ = 755782400. Its totient is φ = 340102044.

The previous prime is 510153089. The next prime is 510153107. The reversal of 510153093 is 390351015.

It is not a de Polignac number, because 510153093 - 22 = 510153089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 18894559 = 510153093 / (5 + 1 + 0 + 1 + 5 + 3 + 0 + 9 + 3).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510153023) by changing a digit.

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, 9447253 + ... + 9447306.

It is an arithmetic number, because the mean of its divisors is an integer number (94472800).

Almost surely, 2510153093 is an apocalyptic number.

It is an amenable number.

510153093 is a deficient number, since it is larger than the sum of its proper divisors (245629307).

510153093 is a wasteful number, since it uses less digits than its factorization.

510153093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18894568 (or 18894562 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 27.

The square root of 510153093 is about 22586.5688629327. The cubic root of 510153093 is about 799.0369103089.

The spelling of 510153093 in words is "five hundred ten million, one hundred fifty-three thousand, ninety-three".

Divisors: 1 3 9 27 18894559 56683677 170051031 510153093