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69385568 = 25721719137
BaseRepresentation
bin1000010001010…
…11110101100000
311211120011002212
410020223311200
5120230314233
610515101252
71501524200
oct410536540
9154504085
1069385568
113619144a
121b2a1828
13114b4c65
149302400
156158a48
hex422bd60

69385568 has 144 divisors (see below), whose sum is σ = 178400880. Its totient is φ = 26320896.

The previous prime is 69385553. The next prime is 69385573. The reversal of 69385568 is 86558396.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506396 + ... + 506532.

It is an arithmetic number, because the mean of its divisors is an integer number (1238895).

Almost surely, 269385568 is an apocalyptic number.

69385568 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69385568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89200440).

69385568 is an abundant number, since it is smaller than the sum of its proper divisors (109015312).

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

69385568 is a wasteful number, since it uses less digits than its factorization.

69385568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 182 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 50.

The square root of 69385568 is about 8329.7999975990. The cubic root of 69385568 is about 410.9191514397.

The spelling of 69385568 in words is "sixty-nine million, three hundred eighty-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 17 19 28 32 34 38 49 56 68 76 98 112 119 133 136 137 152 196 224 238 266 272 274 304 323 392 476 532 544 548 608 646 784 833 931 952 959 1064 1096 1292 1568 1666 1862 1904 1918 2128 2192 2261 2329 2584 2603 3332 3724 3808 3836 4256 4384 4522 4658 5168 5206 6664 6713 7448 7672 9044 9316 10336 10412 13328 13426 14896 15344 15827 16303 18088 18221 18632 20824 26656 26852 29792 30688 31654 32606 36176 36442 37264 41648 44251 53704 63308 65212 72352 72884 74528 83296 88502 107408 114121 126616 127547 130424 145768 177004 214816 228242 253232 255094 260848 291536 309757 354008 456484 506464 510188 521696 583072 619514 708016 912968 1020376 1239028 1416032 1825936 2040752 2168299 2478056 3651872 4081504 4336598 4956112 8673196 9912224 17346392 34692784 69385568