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93348864 = 2103271447
BaseRepresentation
bin1011001000001…
…10010000000000
320111122121120100
411210012100000
5142344130424
613132442400
72212311060
oct544062000
9214577510
1093348864
1148769424
1227319400
131645531b
14c57d3a0
1582dddc9
hex5906400

93348864 has 132 divisors (see below), whose sum is σ = 308261824. Its totient is φ = 26652672.

The previous prime is 93348863. The next prime is 93348907. The reversal of 93348864 is 46884339.

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 (93348863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63789 + ... + 65235.

Almost surely, 293348864 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 93348864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154130912).

93348864 is an abundant number, since it is smaller than the sum of its proper divisors (214912960).

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

93348864 is a wasteful number, since it uses less digits than its factorization.

93348864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1459 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 93348864 is about 9661.7215857217. The cubic root of 93348864 is about 453.6312996888.

The spelling of 93348864 in words is "ninety-three million, three hundred forty-eight thousand, eight hundred sixty-four".

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 1024 1152 1344 1447 1536 1792 2016 2304 2688 2894 3072 3584 4032 4341 4608 5376 5788 7168 8064 8682 9216 10129 10752 11576 13023 16128 17364 20258 21504 23152 26046 30387 32256 34728 40516 46304 52092 60774 64512 69456 81032 91161 92608 104184 121548 138912 162064 182322 185216 208368 243096 277824 324128 364644 370432 416736 486192 555648 648256 729288 740864 833472 972384 1111296 1296512 1458576 1481728 1666944 1944768 2222592 2593024 2917152 3333888 3889536 4445184 5186048 5834304 6667776 7779072 10372096 11668608 13335552 15558144 23337216 31116288 46674432 93348864