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65382912 = 293272027
BaseRepresentation
bin1111100101101…
…0101000000000
311120000210111100
43321122220000
5113214223122
610253214400
71422513510
oct371325000
9146023440
1065382912
11339a8171
1219a91400
131071311a
14897d840
155b17aac
hex3e5aa00

65382912 has 120 divisors (see below), whose sum is σ = 215762976. Its totient is φ = 18671616.

The previous prime is 65382899. The next prime is 65382913. The reversal of 65382912 is 21928356.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65382913) 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 11 ways as a sum of consecutive naturals, for example, 31243 + ... + 33269.

Almost surely, 265382912 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 65382912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107881488).

65382912 is an abundant number, since it is smaller than the sum of its proper divisors (150380064).

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

65382912 is a wasteful number, since it uses less digits than its factorization.

65382912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2039 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 65382912 is about 8085.9700716735. The cubic root of 65382912 is about 402.8605608798.

The spelling of 65382912 in words is "sixty-five million, three hundred eighty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2027 2304 2688 3584 4032 4054 4608 5376 6081 8064 8108 10752 12162 14189 16128 16216 18243 24324 28378 32256 32432 36486 42567 48648 56756 64864 72972 85134 97296 113512 127701 129728 145944 170268 194592 227024 255402 259456 291888 340536 389184 454048 510804 518912 583776 681072 778368 908096 1021608 1037824 1167552 1362144 1556736 1816192 2043216 2335104 2724288 3113472 3632384 4086432 4670208 5448576 7264768 8172864 9340416 10897152 16345728 21794304 32691456 65382912