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3868027576 = 237234189823
BaseRepresentation
bin1110011010001101…
…0110101010111000
3100222120101011022121
43212203112222320
530410203340301
61435453131024
7164565456220
oct34643265270
910876334277
103868027576
111705445406
128bb489a74
1349849521a
142899dd080
151798a73a1
hexe68d6ab8

3868027576 has 128 divisors (see below), whose sum is σ = 8970393600. Its totient is φ = 1527736320.

The previous prime is 3868027549. The next prime is 3868027577. The reversal of 3868027576 is 6757208683.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3868027577) 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 31 ways as a sum of consecutive naturals, for example, 4699501 + ... + 4700323.

It is an arithmetic number, because the mean of its divisors is an integer number (70081200).

Almost surely, 23868027576 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 3868027576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4485196800).

3868027576 is an abundant number, since it is smaller than the sum of its proper divisors (5102366024).

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

3868027576 is a wasteful number, since it uses less digits than its factorization.

3868027576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The square root of 3868027576 is about 62193.4689175640. The cubic root of 3868027576 is about 1569.7476944550.

The spelling of 3868027576 in words is "three billion, eight hundred sixty-eight million, twenty-seven thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 23 28 41 46 56 82 89 92 161 164 178 184 287 322 328 356 574 623 644 712 823 943 1148 1246 1288 1646 1886 2047 2296 2492 3292 3649 3772 4094 4984 5761 6584 6601 7298 7544 8188 11522 13202 14329 14596 16376 18929 23044 25543 26404 28658 29192 33743 37858 46088 51086 52808 57316 67486 73247 75716 83927 102172 114632 132503 134972 146494 151432 167854 204344 236201 265006 269944 292988 335708 472402 512729 530012 585976 587489 671416 776089 944804 1025458 1060024 1174978 1552178 1684681 1889608 2050916 2349956 3003127 3104356 3369362 4101832 4699912 5432623 6006254 6208712 6738724 10865246 11792767 12012508 13477448 21021889 21730492 23585534 24025016 42043778 43460984 47171068 69071921 84087556 94342136 138143842 168175112 276287684 483503447 552575368 967006894 1934013788 3868027576