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68231808 = 27346581
BaseRepresentation
bin1000001000100…
…10001010000000
311202101112110000
410010102022000
5114431404213
610434240000
71455650361
oct404221200
9152345400
1068231808
1135573627
121aa26000
131119ca68
1490c1b68
155ecbc73
hex4112280

68231808 has 80 divisors (see below), whose sum is σ = 203087610. Its totient is φ = 22740480.

The previous prime is 68231803. The next prime is 68231819. The reversal of 68231808 is 80813286.

It can be written as a sum of positive squares in only one way, i.e., 63872064 + 4359744 = 7992^2 + 2088^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (68231803) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7078 + ... + 13658.

Almost surely, 268231808 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 68231808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101543805).

68231808 is an abundant number, since it is smaller than the sum of its proper divisors (134855802).

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

68231808 is an equidigital number, since it uses as much as digits as its factorization.

68231808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6607 (or 6586 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 68231808 is about 8260.2547176222. The cubic root of 68231808 is about 408.6287882322.

The spelling of 68231808 in words is "sixty-eight million, two hundred thirty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 6581 10368 13162 19743 26324 39486 52648 59229 78972 105296 118458 157944 177687 210592 236916 315888 355374 421184 473832 533061 631776 710748 842368 947664 1066122 1263552 1421496 1895328 2132244 2527104 2842992 3790656 4264488 5685984 7581312 8528976 11371968 17057952 22743936 34115904 68231808