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68046800 = 2452311547
BaseRepresentation
bin1000000111001…
…00111111010000
311202001010122212
410003210333100
5114404444200
610430251252
71454250113
oct403447720
9152033585
1068046800
1135457628
121a956b28
13111367a3
14907457a
155e92035
hex40e4fd0

68046800 has 60 divisors (see below), whose sum is σ = 164307936. Its totient is φ = 27081600.

The previous prime is 68046793. The next prime is 68046817. The reversal of 68046800 is 864086.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124127 + ... + 124673.

Almost surely, 268046800 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 68046800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82153968).

68046800 is an abundant number, since it is smaller than the sum of its proper divisors (96261136).

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

68046800 is a wasteful number, since it uses less digits than its factorization.

68046800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 68046800 is about 8249.0484299706. The cubic root of 68046800 is about 408.2591266883.

The spelling of 68046800 in words is "sixty-eight million, forty-six thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 311 400 547 622 1094 1244 1555 2188 2488 2735 3110 4376 4976 5470 6220 7775 8752 10940 12440 13675 15550 21880 24880 27350 31100 43760 54700 62200 109400 124400 170117 218800 340234 680468 850585 1360936 1701170 2721872 3402340 4252925 6804680 8505850 13609360 17011700 34023400 68046800