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67814496 = 25381719
BaseRepresentation
bin1000000101011…
…00010001100000
311201121100000000
410002230101200
5114330030441
610421300000
71452261621
oct402542140
9151540000
1067814496
1135309042
121a864600
1311084b29
149013a48
155e482b6
hex40ac460

67814496 has 216 divisors, whose sum is σ = 223193880. Its totient is φ = 20155392.

The previous prime is 67814473. The next prime is 67814501. The reversal of 67814496 is 69441876.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3569175 + ... + 3569193.

It is an arithmetic number, because the mean of its divisors is an integer number (1033305).

Almost surely, 267814496 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 67814496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111596940).

67814496 is an abundant number, since it is smaller than the sum of its proper divisors (155379384).

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

67814496 is an equidigital number, since it uses as much as digits as its factorization.

67814496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 41 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 67814496 is about 8234.9557375860. The cubic root of 67814496 is about 407.7940136686.

The spelling of 67814496 in words is "sixty-seven million, eight hundred fourteen thousand, four hundred ninety-six".