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201394848 = 2533123759
BaseRepresentation
bin11000000000100…
…00101010100000
3112000221220210110
430000100222200
5403024113343
631552331320
74663553664
oct1400205240
9460856713
10201394848
11a3755a26
1257543b40
1332955165
141ca668a4
1512a32833
hexc010aa0

201394848 has 144 divisors (see below), whose sum is σ = 570538080. Its totient is φ = 62138880.

The previous prime is 201394847. The next prime is 201394849. The reversal of 201394848 is 848493102.

201394848 is nontrivially palindromic in base 7.

201394848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201394847) and next prime (201394849).

It is not an unprimeable number, because it can be changed into a prime (201394841) 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 23 ways as a sum of consecutive naturals, for example, 3413443 + ... + 3413501.

It is an arithmetic number, because the mean of its divisors is an integer number (3962070).

Almost surely, 2201394848 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 201394848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285269040).

201394848 is an abundant number, since it is smaller than the sum of its proper divisors (369143232).

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

201394848 is a wasteful number, since it uses less digits than its factorization.

201394848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 201394848 is about 14191.3652620176. The cubic root of 201394848 is about 586.1599193899.

The spelling of 201394848 in words is "two hundred one million, three hundred ninety-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 37 48 59 62 74 93 96 111 118 124 148 177 186 222 236 248 296 354 372 444 472 496 592 708 744 888 944 961 992 1147 1184 1416 1488 1776 1829 1888 1922 2183 2294 2832 2883 2976 3441 3552 3658 3844 4366 4588 5487 5664 5766 6549 6882 7316 7688 8732 9176 10974 11532 13098 13764 14632 15376 17464 18352 21948 23064 26196 27528 29264 30752 34928 35557 36704 43896 46128 52392 55056 56699 58528 67673 69856 71114 87792 92256 104784 106671 110112 113398 135346 142228 170097 175584 203019 209568 213342 226796 270692 284456 340194 406038 426684 453592 541384 568912 680388 812076 853368 907184 1082768 1137824 1360776 1624152 1706736 1814368 2097863 2165536 2721552 3248304 3413472 4195726 5443104 6293589 6496608 8391452 12587178 16782904 25174356 33565808 50348712 67131616 100697424 201394848