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64864368 = 2433532833
BaseRepresentation
bin1111011101110…
…0000001110000
311112001110012000
43313130001300
5113101124433
610234134000
71415223642
oct367340160
9145043160
1064864368
1133683618
1219881300
13105910aa
148886892
155a64113
hex3ddc070

64864368 has 80 divisors (see below), whose sum is σ = 189764640. Its totient is φ = 21206016.

The previous prime is 64864351. The next prime is 64864433. The reversal of 64864368 is 86346846.

64864368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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, 21480 + ... + 24312.

It is an arithmetic number, because the mean of its divisors is an integer number (2372058).

Almost surely, 264864368 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 64864368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94882320).

64864368 is an abundant number, since it is smaller than the sum of its proper divisors (124900272).

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

64864368 is a wasteful number, since it uses less digits than its factorization.

64864368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903 (or 2891 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 64864368 is about 8053.8418161769. The cubic root of 64864368 is about 401.7927200505.

The spelling of 64864368 in words is "sixty-four million, eight hundred sixty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 318 424 432 477 636 848 954 1272 1431 1908 2544 2833 2862 3816 5666 5724 7632 8499 11332 11448 16998 22664 22896 25497 33996 45328 50994 67992 76491 101988 135984 150149 152982 203976 300298 305964 407952 450447 600596 611928 900894 1201192 1223856 1351341 1801788 2402384 2702682 3603576 4054023 5405364 7207152 8108046 10810728 16216092 21621456 32432184 64864368