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506116604 = 227191138419
BaseRepresentation
bin11110001010101…
…011100111111100
31022021100101110102
4132022223213330
52014031212404
6122115500232
715353630420
oct3612534774
91267311412
10506116604
1123a764994
121215b7678
1380b171a6
144b308b80
152e67571e
hex1e2ab9fc

506116604 has 48 divisors (see below), whose sum is σ = 1075065600. Its totient is φ = 203648256.

The previous prime is 506116603. The next prime is 506116631. The reversal of 506116604 is 406611605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506116601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55907 + ... + 64325.

It is an arithmetic number, because the mean of its divisors is an integer number (22397200).

Almost surely, 2506116604 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 506116604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537532800).

506116604 is an abundant number, since it is smaller than the sum of its proper divisors (568948996).

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

506116604 is a wasteful number, since it uses less digits than its factorization.

506116604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8562 (or 8560 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 506116604 is about 22497.0354491431. The cubic root of 506116604 is about 796.9239185635.

The spelling of 506116604 in words is "five hundred six million, one hundred sixteen thousand, six hundred four".

Divisors: 1 2 4 7 14 19 28 38 76 113 133 226 266 452 532 791 1582 2147 3164 4294 8419 8588 15029 16838 30058 33676 58933 60116 117866 159961 235732 319922 639844 951347 1119727 1902694 2239454 3805388 4478908 6659429 13318858 18075593 26637716 36151186 72302372 126529151 253058302 506116604