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64532352 = 2731631031
BaseRepresentation
bin1111011000101…
…0111110000000
311111102120202010
43312022332000
5113010013402
610223052520
71412341653
oct366127600
9144376663
1064532352
1133477125
1219741140
13104a5c31
1487db89a
1559eaa6c
hex3d8af80

64532352 has 64 divisors (see below), whose sum is σ = 172632960. Its totient is φ = 21358080.

The previous prime is 64532339. The next prime is 64532353. The reversal of 64532352 is 25323546.

64532352 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 (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64532353) 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, 62077 + ... + 63107.

It is an arithmetic number, because the mean of its divisors is an integer number (2697390).

Almost surely, 264532352 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 64532352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86316480).

64532352 is an abundant number, since it is smaller than the sum of its proper divisors (108100608).

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

64532352 is a wasteful number, since it uses less digits than its factorization.

64532352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1199 counting only the distinct ones).

The product of its digits is 21600, while the sum is 30.

The square root of 64532352 is about 8033.2030971462. The cubic root of 64532352 is about 401.1060057264.

Adding to 64532352 its reverse (25323546), we get a palindrome (89855898).

The spelling of 64532352 in words is "sixty-four million, five hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 163 192 326 384 489 652 978 1031 1304 1956 2062 2608 3093 3912 4124 5216 6186 7824 8248 10432 12372 15648 16496 20864 24744 31296 32992 49488 62592 65984 98976 131968 168053 197952 336106 395904 504159 672212 1008318 1344424 2016636 2688848 4033272 5377696 8066544 10755392 16133088 21510784 32266176 64532352