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64803936 = 2532412801
BaseRepresentation
bin1111011100110…
…1010001100000
311111221101021210
43313031101200
5113042211221
610232550120
71414552521
oct367152140
9144841253
1064803936
113364217a
1219852340
131056c732
14886c848
155a51276
hex3dcd460

64803936 has 48 divisors (see below), whose sum is σ = 170877168. Its totient is φ = 21504000.

The previous prime is 64803931. The next prime is 64803943. The reversal of 64803936 is 63930846.

64803936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×648039363 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64803894 and 64803903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64803931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21736 + ... + 24536.

It is an arithmetic number, because the mean of its divisors is an integer number (3559941).

Almost surely, 264803936 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 64803936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85438584).

64803936 is an abundant number, since it is smaller than the sum of its proper divisors (106073232).

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

64803936 is a wasteful number, since it uses less digits than its factorization.

64803936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3055 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 64803936 is about 8050.0891920525. The cubic root of 64803936 is about 401.6679022553.

The spelling of 64803936 in words is "sixty-four million, eight hundred three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 241 482 723 964 1446 1928 2801 2892 3856 5602 5784 7712 8403 11204 11568 16806 22408 23136 33612 44816 67224 89632 134448 268896 675041 1350082 2025123 2700164 4050246 5400328 8100492 10800656 16200984 21601312 32401968 64803936