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68815872 = 2103319131
BaseRepresentation
bin1000001101000…
…00110000000000
311210111012122000
410012200300000
5120104101442
610454544000
71463632236
oct406406000
9153435560
1068815872
1135932424
121b068000
1311345868
1491d4956
156094d4c
hex41a0c00

68815872 has 176 divisors, whose sum is σ = 216163200. Its totient is φ = 21565440.

The previous prime is 68815841. The next prime is 68815883. The reversal of 68815872 is 27851886.

68815872 is a `hidden beast` number, since 68 + 8 + 1 + 587 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525247 + ... + 525377.

It is an arithmetic number, because the mean of its divisors is an integer number (1228200).

Almost surely, 268815872 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 68815872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108081600).

68815872 is an abundant number, since it is smaller than the sum of its proper divisors (147347328).

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

68815872 is a wasteful number, since it uses less digits than its factorization.

68815872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 155 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 68815872 is about 8295.5332559155. The cubic root of 68815872 is about 409.7914307013.

The spelling of 68815872 in words is "sixty-eight million, eight hundred fifteen thousand, eight hundred seventy-two".