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68409792 = 2633115961
BaseRepresentation
bin1000001001111…
…01100111000000
311202201120121000
410010331213000
5120003103132
610442132000
71460321313
oct404754700
9152646530
1068409792
1135685320
121aab1000
1311232a89
14912a97a
15601487c
hex413d9c0

68409792 has 224 divisors, whose sum is σ = 226771200. Its totient is φ = 20044800.

The previous prime is 68409763. The next prime is 68409793. The reversal of 68409792 is 29790486.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68409793) 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 31 ways as a sum of consecutive naturals, for example, 1121442 + ... + 1121502.

Almost surely, 268409792 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 68409792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113385600).

68409792 is an abundant number, since it is smaller than the sum of its proper divisors (158361408).

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

68409792 is a wasteful number, since it uses less digits than its factorization.

68409792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 68409792 is about 8271.0212186888. The cubic root of 68409792 is about 408.9837851228.

The spelling of 68409792 in words is "sixty-eight million, four hundred nine thousand, seven hundred ninety-two".