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69876768 = 2531325973
BaseRepresentation
bin1000010101000…
…11110000100000
311212111002220110
410022203300200
5120342024033
610533411320
71505641233
oct412436040
9155432813
1069876768
11364974a5
121b499b40
1311627700
1493cd41a
156204363
hex42a3c20

69876768 has 144 divisors (see below), whose sum is σ = 204755040. Its totient is φ = 20846592.

The previous prime is 69876761. The next prime is 69876769. The reversal of 69876768 is 86767896.

It is a super-2 number, since 2×698767682 = 9765525412251648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (69876761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 957180 + ... + 957252.

It is an arithmetic number, because the mean of its divisors is an integer number (1421910).

Almost surely, 269876768 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 69876768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102377520).

69876768 is an abundant number, since it is smaller than the sum of its proper divisors (134878272).

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

69876768 is a wasteful number, since it uses less digits than its factorization.

69876768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 150 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 57.

The square root of 69876768 is about 8359.2325006546. The cubic root of 69876768 is about 411.8865430513.

The spelling of 69876768 in words is "sixty-nine million, eight hundred seventy-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 59 73 78 96 104 118 146 156 169 177 208 219 236 292 312 338 354 416 438 472 507 584 624 676 708 767 876 944 949 1014 1168 1248 1352 1416 1534 1752 1888 1898 2028 2301 2336 2704 2832 2847 3068 3504 3796 4056 4307 4602 5408 5664 5694 6136 7008 7592 8112 8614 9204 9971 11388 12272 12337 12921 15184 16224 17228 18408 19942 22776 24544 24674 25842 29913 30368 34456 36816 37011 39884 45552 49348 51684 55991 59826 68912 73632 74022 79768 91104 98696 103368 111982 119652 137824 148044 159536 167973 197392 206736 223964 239304 296088 319072 335946 394784 413472 447928 478608 592176 671892 727883 895856 957216 1184352 1343784 1455766 1791712 2183649 2687568 2911532 4367298 5375136 5823064 8734596 11646128 17469192 23292256 34938384 69876768