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69381648 = 2432729833
BaseRepresentation
bin1000010001010…
…10111000010000
311211112221201200
410020222320100
5120230203043
610515031200
71501506600
oct410527020
9154487650
1069381648
1136189506
121b29b500
13114b323b
149300c00
1561577d3
hex422ae10

69381648 has 90 divisors (see below), whose sum is σ = 225896814. Its totient is φ = 19821312.

The previous prime is 69381643. The next prime is 69381667. The reversal of 69381648 is 84618396.

It can be written as a sum of positive squares in only one way, i.e., 59721984 + 9659664 = 7728^2 + 3108^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (69381643) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2140 + ... + 11972.

Almost surely, 269381648 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 69381648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112948407).

69381648 is an abundant number, since it is smaller than the sum of its proper divisors (156515166).

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

69381648 is a wasteful number, since it uses less digits than its factorization.

69381648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9861 (or 9845 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 69381648 is about 8329.5646945084. The cubic root of 69381648 is about 410.9114128784.

The spelling of 69381648 in words is "sixty-nine million, three hundred eighty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 9833 19666 29499 39332 58998 68831 78664 88497 117996 137662 157328 176994 206493 235992 275324 353988 412986 471984 481817 550648 619479 707976 825972 963634 1101296 1238958 1415952 1445451 1651944 1927268 2477916 2890902 3303888 3854536 4336353 4955832 5781804 7709072 8672706 9911664 11563608 17345412 23127216 34690824 69381648