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506888676 = 223272119533
BaseRepresentation
bin11110001101101…
…000000111100100
31022022210121112200
4132031220013210
52014230414201
6122144214500
715363324360
oct3615500744
91268717480
10506888676
11240141a68
1212190a430
1381027738
144b46a2a0
152e779386
hex1e3681e4

506888676 has 72 divisors (see below), whose sum is σ = 1471439424. Its totient is φ = 144123840.

The previous prime is 506888663. The next prime is 506888737. The reversal of 506888676 is 676888605.

It is a super-2 number, since 2×5068886762 = 513872259714065952, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48406 + ... + 57938.

Almost surely, 2506888676 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 506888676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735719712).

506888676 is an abundant number, since it is smaller than the sum of its proper divisors (964550748).

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

506888676 is a wasteful number, since it uses less digits than its factorization.

506888676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9761 (or 9756 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The square root of 506888676 is about 22514.1883264754. The cubic root of 506888676 is about 797.3289438324.

The spelling of 506888676 in words is "five hundred six million, eight hundred eighty-eight thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 211 252 422 633 844 1266 1477 1899 2532 2954 3798 4431 5908 7596 8862 9533 13293 17724 19066 26586 28599 38132 53172 57198 66731 85797 114396 133462 171594 200193 266924 343188 400386 600579 800772 1201158 2011463 2402316 4022926 6034389 8045852 12068778 14080241 18103167 24137556 28160482 36206334 42240723 56320964 72412668 84481446 126722169 168962892 253444338 506888676