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518117148 = 22344337189
BaseRepresentation
bin11110111000011…
…101011100011100
31100002221002010000
4132320131130130
52030114222043
6123225014300
715560631423
oct3670353434
91302832100
10518117148
1124651109a
12125624390
13834594c3
144cb502ba
15307462d3
hex1ee1d71c

518117148 has 60 divisors (see below), whose sum is σ = 1385996920. Its totient is φ = 168684768.

The previous prime is 518117141. The next prime is 518117203. The reversal of 518117148 is 841711815.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (518117141) 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 19 ways as a sum of consecutive naturals, for example, 4663 + ... + 32526.

Almost surely, 2518117148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 518117148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692998460).

518117148 is an abundant number, since it is smaller than the sum of its proper divisors (867879772).

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

518117148 is a wasteful number, since it uses less digits than its factorization.

518117148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37248 (or 37237 counting only the distinct ones).

The product of its digits is 8960, while the sum is 36.

The square root of 518117148 is about 22762.1868017992. The cubic root of 518117148 is about 803.1734097766.

The spelling of 518117148 in words is "five hundred eighteen million, one hundred seventeen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 258 324 387 516 774 1161 1548 2322 3483 4644 6966 13932 37189 74378 111567 148756 223134 334701 446268 669402 1004103 1338804 1599127 2008206 3012309 3198254 4016412 4797381 6024618 6396508 9594762 12049236 14392143 19189524 28784286 43176429 57568572 86352858 129529287 172705716 259058574 518117148