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69728256 = 211331397
BaseRepresentation
bin1000010011111…
…11100000000000
311212012120012000
410021333200000
5120322301011
610530304000
71504452243
oct411774000
9155176160
1069728256
11363a5964
121b428000
13115a4c30
14939125a
1561c5356
hex427f800

69728256 has 192 divisors, whose sum is σ = 224733600. Its totient is φ = 21233664.

The previous prime is 69728251. The next prime is 69728261. The reversal of 69728256 is 65282796.

It is an interprime number because it is at equal distance from previous prime (69728251) and next prime (69728261).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69728251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718800 + ... + 718896.

Almost surely, 269728256 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 69728256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112366800).

69728256 is an abundant number, since it is smaller than the sum of its proper divisors (155005344).

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

69728256 is a wasteful number, since it uses less digits than its factorization.

69728256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 115 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 69728256 is about 8350.3446635453. The cubic root of 69728256 is about 411.5945362176.

The spelling of 69728256 in words is "sixty-nine million, seven hundred twenty-eight thousand, two hundred fifty-six".