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68183808 = 2837111153
BaseRepresentation
bin1000001000001…
…10011100000000
311202022002121020
410010012130000
5114423340213
610433225440
71455360420
oct404063400
9152262536
1068183808
1135540560
121aa02280
1311183c64
1490ac480
155ebc923
hex4106700

68183808 has 144 divisors (see below), whose sum is σ = 226442496. Its totient is φ = 17694720.

The previous prime is 68183803. The next prime is 68183813. The reversal of 68183808 is 80838186.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68183803) and next prime (68183813).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 68183808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68183803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58560 + ... + 59712.

Almost surely, 268183808 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 68183808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113221248).

68183808 is an abundant number, since it is smaller than the sum of its proper divisors (158258688).

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

68183808 is a wasteful number, since it uses less digits than its factorization.

68183808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 68183808 is about 8257.3487270431. The cubic root of 68183808 is about 408.5329444528.

The spelling of 68183808 in words is "sixty-eight million, one hundred eighty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 528 616 672 704 768 896 924 1056 1153 1232 1344 1408 1792 1848 2112 2306 2464 2688 2816 3459 3696 4224 4612 4928 5376 6918 7392 8071 8448 9224 9856 12683 13836 14784 16142 18448 19712 24213 25366 27672 29568 32284 36896 38049 48426 50732 55344 59136 64568 73792 76098 88781 96852 101464 110688 129136 147584 152196 177562 193704 202928 221376 258272 266343 295168 304392 355124 387408 405856 442752 516544 532686 608784 710248 774816 811712 885504 1033088 1065372 1217568 1420496 1549632 1623424 2066176 2130744 2435136 2840992 3099264 3246848 4261488 4870272 5681984 6198528 8522976 9740544 11363968 17045952 22727936 34091904 68183808