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6827576052 = 22311195946141
BaseRepresentation
bin1100101101111010…
…01000101011110100
3122121211021210121010
412112331020223310
5102440324413202
63045254352220
7331123303353
oct62675105364
918554253533
106827576052
112993a96a40
1213a665b670
1384a68553b
1448aab599a
1529e60a76c
hex196f48af4

6827576052 has 96 divisors (see below), whose sum is σ = 18604454400. Its totient is φ = 1926806400.

The previous prime is 6827576039. The next prime is 6827576069. The reversal of 6827576052 is 2506757286.

It is a junction number, because it is equal to n+sod(n) for n = 6827575992 and 6827576010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124902 + ... + 171042.

It is an arithmetic number, because the mean of its divisors is an integer number (193796400).

Almost surely, 26827576052 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 6827576052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9302227200).

6827576052 is an abundant number, since it is smaller than the sum of its proper divisors (11776878348).

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

6827576052 is a wasteful number, since it uses less digits than its factorization.

6827576052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46237 (or 46235 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The square root of 6827576052 is about 82629.1477143508. The cubic root of 6827576052 is about 1897.0939926808.

The spelling of 6827576052 in words is "six billion, eight hundred twenty-seven million, five hundred seventy-six thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 59 66 76 114 118 132 177 209 228 236 354 418 627 649 708 836 1121 1254 1298 1947 2242 2508 2596 3363 3894 4484 6726 7788 12331 13452 24662 36993 46141 49324 73986 92282 138423 147972 184564 276846 507551 553692 876679 1015102 1522653 1753358 2030204 2630037 2722319 3045306 3506716 5260074 5444638 6090612 8166957 9643469 10520148 10889276 16333914 19286938 28930407 29945509 32667828 38573876 51724061 57860814 59891018 89836527 103448122 115721628 119782036 155172183 179673054 206896244 310344366 359346108 568964671 620688732 1137929342 1706894013 2275858684 3413788026 6827576052