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68824576 = 29229587
BaseRepresentation
bin1000001101000…
…10111000000000
311210111122120101
410012202320000
5120104341301
610455052144
71463666512
oct406427000
9153448511
1068824576
1135938a17
121b071054
1311349802
1491d7bb2
156097701
hex41a2e00

68824576 has 40 divisors (see below), whose sum is σ = 138350520. Its totient is φ = 34203648.

The previous prime is 68824573. The next prime is 68824577. The reversal of 68824576 is 67542886.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68824573) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 116955 + ... + 117541.

It is an arithmetic number, because the mean of its divisors is an integer number (3458763).

Almost surely, 268824576 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 68824576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69175260).

68824576 is an abundant number, since it is smaller than the sum of its proper divisors (69525944).

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

68824576 is an equidigital number, since it uses as much as digits as its factorization.

68824576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 818 counting only the distinct ones).

The product of its digits is 645120, while the sum is 46.

The square root of 68824576 is about 8296.0578590075. The cubic root of 68824576 is about 409.8087071141.

The spelling of 68824576 in words is "sixty-eight million, eight hundred twenty-four thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 229 256 458 512 587 916 1174 1832 2348 3664 4696 7328 9392 14656 18784 29312 37568 58624 75136 117248 134423 150272 268846 300544 537692 1075384 2150768 4301536 8603072 17206144 34412288 68824576