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68855808 = 211371601
BaseRepresentation
bin1000001101010…
…10100000000000
311210120020102010
410012222200000
5120111341213
610455452520
71464156540
oct406524000
9153506363
1068855808
113595a42a
121b087140
131135aaa8
149205320
1560a1ac3
hex41aa800

68855808 has 96 divisors (see below), whose sum is σ = 209926080. Its totient is φ = 19660800.

The previous prime is 68855807. The next prime is 68855819. The reversal of 68855808 is 80855886.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×688558082 = 9482244590665728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (68855803) 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 7 ways as a sum of consecutive naturals, for example, 42208 + ... + 43808.

It is an arithmetic number, because the mean of its divisors is an integer number (2186730).

Almost surely, 268855808 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 68855808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104963040).

68855808 is an abundant number, since it is smaller than the sum of its proper divisors (141070272).

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

68855808 is a wasteful number, since it uses less digits than its factorization.

68855808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 48.

The square root of 68855808 is about 8297.9399853217. The cubic root of 68855808 is about 409.8706869607.

The spelling of 68855808 in words is "sixty-eight million, eight hundred fifty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1601 1792 2048 2688 3072 3202 3584 4803 5376 6144 6404 7168 9606 10752 11207 12808 14336 19212 21504 22414 25616 33621 38424 43008 44828 51232 67242 76848 89656 102464 134484 153696 179312 204928 268968 307392 358624 409856 537936 614784 717248 819712 1075872 1229568 1434496 1639424 2151744 2459136 2868992 3278848 4303488 4918272 5737984 8606976 9836544 11475968 17213952 22951936 34427904 68855808