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68000828 = 2272346943
BaseRepresentation
bin1000000110110…
…01110000111100
311201221210121012
410003121300330
5114402011303
610425254352
71453666100
oct403316074
9151853535
1068000828
1135426035
121a9343b8
131111b89c
149061900
155e835d8
hex40d9c3c

68000828 has 18 divisors (see below), whose sum is σ = 138430656. Its totient is φ = 29143128.

The previous prime is 68000827. The next prime is 68000839. The reversal of 68000828 is 82800086.

It is a super-3 number, since 3×680008283 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 68000794 and 68000803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68000827) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 173276 + ... + 173667.

It is an arithmetic number, because the mean of its divisors is an integer number (7690592).

Almost surely, 268000828 is an apocalyptic number.

It is an amenable number.

68000828 is an abundant number, since it is smaller than the sum of its proper divisors (70429828).

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

68000828 is a wasteful number, since it uses less digits than its factorization.

68000828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346961 (or 346952 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 68000828 is about 8246.2614559569. The cubic root of 68000828 is about 408.1671668568.

The spelling of 68000828 in words is "sixty-eight million, eight hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 4 7 14 28 49 98 196 346943 693886 1387772 2428601 4857202 9714404 17000207 34000414 68000828