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64544004 = 22327416247
BaseRepresentation
bin1111011000110…
…1110100000100
311111110011201200
43312031310010
5113010402004
610223222500
71412420640
oct366156404
9144404650
1064544004
1133484958
1219747a30
13104ab325
148801c20
1559ee239
hex3d8dd04

64544004 has 72 divisors (see below), whose sum is σ = 191038848. Its totient is φ = 17988480.

The previous prime is 64543993. The next prime is 64544033. The reversal of 64544004 is 40044546.

64544004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 7209 + ... + 13455.

Almost surely, 264544004 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 64544004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95519424).

64544004 is an abundant number, since it is smaller than the sum of its proper divisors (126494844).

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

64544004 is a wasteful number, since it uses less digits than its factorization.

64544004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6305 (or 6300 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 64544004 is about 8033.9283043851. The cubic root of 64544004 is about 401.1301455869.

The spelling of 64544004 in words is "sixty-four million, five hundred forty-four thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 738 861 1148 1476 1722 2583 3444 5166 6247 10332 12494 18741 24988 37482 43729 56223 74964 87458 112446 131187 174916 224892 256127 262374 393561 512254 524748 768381 787122 1024508 1536762 1574244 1792889 2305143 3073524 3585778 4610286 5378667 7171556 9220572 10757334 16136001 21514668 32272002 64544004