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506613128 = 23716355501
BaseRepresentation
bin11110001100100…
…100110110001000
31022022021121120012
4132030210312020
52014143110003
6122134251052
715361066130
oct3614446610
91268247505
10506613128
1123aa73a3a
121217b6a88
1380c5c1a8
144b3d7ac0
152e7228d8
hex1e324d88

506613128 has 32 divisors (see below), whose sum is σ = 1092279360. Its totient is φ = 215784000.

The previous prime is 506613119. The next prime is 506613193. The reversal of 506613128 is 821316605.

It is a happy number.

It is a super-2 number, since 2×5066131282 = 513313722923888768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 506613094 and 506613103.

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, 18623 + ... + 36878.

It is an arithmetic number, because the mean of its divisors is an integer number (34133730).

Almost surely, 2506613128 is an apocalyptic number.

It is an amenable number.

506613128 is an abundant number, since it is smaller than the sum of its proper divisors (585666232).

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

506613128 is a wasteful number, since it uses less digits than its factorization.

506613128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55677 (or 55673 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 506613128 is about 22508.0680645852. The cubic root of 506613128 is about 797.1844399017.

The spelling of 506613128 in words is "five hundred six million, six hundred thirteen thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 56 163 326 652 1141 1304 2282 4564 9128 55501 111002 222004 388507 444008 777014 1554028 3108056 9046663 18093326 36186652 63326641 72373304 126653282 253306564 506613128