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64546872 = 23313443467
BaseRepresentation
bin1111011000111…
…0100000111000
311111110022122220
43312032200320
5113010444442
610223244040
71412432205
oct366164070
9144408586
1064546872
1133487025
1219749620
13104ac720
148802cac
1559eeeec
hex3d8e838

64546872 has 64 divisors (see below), whose sum is σ = 174545280. Its totient is φ = 19773312.

The previous prime is 64546849. The next prime is 64546879. The reversal of 64546872 is 27864546.

64546872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64546879) 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 15 ways as a sum of consecutive naturals, for example, 137983 + ... + 138449.

It is an arithmetic number, because the mean of its divisors is an integer number (2727270).

Almost surely, 264546872 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 64546872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87272640).

64546872 is an abundant number, since it is smaller than the sum of its proper divisors (109998408).

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

64546872 is a wasteful number, since it uses less digits than its factorization.

64546872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 928 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 64546872 is about 8034.1067954067. The cubic root of 64546872 is about 401.1360868783.

The spelling of 64546872 in words is "sixty-four million, five hundred forty-six thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 443 467 886 934 1329 1401 1772 1868 2658 2802 3544 3736 5316 5604 5759 6071 10632 11208 11518 12142 17277 18213 23036 24284 34554 36426 46072 48568 69108 72852 138216 145704 206881 413762 620643 827524 1241286 1655048 2482572 2689453 4965144 5378906 8068359 10757812 16136718 21515624 32273436 64546872