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68461788 = 223172191039
BaseRepresentation
bin1000001010010…
…10010011011100
311202211012220210
410011022103130
5120011234123
610443212420
71460626023
oct405122334
9152735823
1068461788
113571039a
121ab17110
1311250645
1491418ba
156024e93
hex414a4dc

68461788 has 72 divisors (see below), whose sum is σ = 178796800. Its totient is φ = 20328192.

The previous prime is 68461787. The next prime is 68461801. The reversal of 68461788 is 88716486.

68461788 is a modest number, since divided by 61788 gives 684 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68461787) by changing a digit.

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, 65373 + ... + 66411.

Almost surely, 268461788 is an apocalyptic number.

68461788 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 68461788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89398400).

68461788 is an abundant number, since it is smaller than the sum of its proper divisors (110335012).

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

68461788 is a wasteful number, since it uses less digits than its factorization.

68461788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1080 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The square root of 68461788 is about 8274.1638852515. The cubic root of 68461788 is about 409.0873771906.

The spelling of 68461788 in words is "sixty-eight million, four hundred sixty-one thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 289 323 578 646 867 969 1039 1156 1292 1734 1938 2078 3117 3468 3876 4156 5491 6234 10982 12468 16473 17663 19741 21964 32946 35326 39482 52989 59223 65892 70652 78964 105978 118446 211956 236892 300271 335597 600542 671194 900813 1006791 1201084 1342388 1801626 2013582 3603252 4027164 5705149 11410298 17115447 22820596 34230894 68461788