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65969728 = 2611831129
BaseRepresentation
bin1111101110100…
…1111001000000
311121010121110021
43323221321000
5113342012403
610313543224
71430506366
oct373517100
9147117407
1065969728
1134269040
121a114b14
131088a256
148a93636
155bd18bd
hex3ee9e40

65969728 has 56 divisors (see below), whose sum is σ = 144658080. Its totient is φ = 29598720.

The previous prime is 65969723. The next prime is 65969753. The reversal of 65969728 is 82796956.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65969723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57868 + ... + 58996.

It is an arithmetic number, because the mean of its divisors is an integer number (2583180).

Almost surely, 265969728 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 65969728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72329040).

65969728 is an abundant number, since it is smaller than the sum of its proper divisors (78688352).

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

65969728 is a wasteful number, since it uses less digits than its factorization.

65969728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1225 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 52.

The square root of 65969728 is about 8122.1750781426. The cubic root of 65969728 is about 404.0622065438.

The spelling of 65969728 in words is "sixty-five million, nine hundred sixty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 83 88 166 176 332 352 664 704 913 1129 1328 1826 2258 2656 3652 4516 5312 7304 9032 12419 14608 18064 24838 29216 36128 49676 58432 72256 93707 99352 187414 198704 374828 397408 749656 794816 1030777 1499312 2061554 2998624 4123108 5997248 8246216 16492432 32984864 65969728