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64840464 = 243213191823
BaseRepresentation
bin1111011101011…
…0001100010000
311112000020101200
43313112030100
5113044343324
610233431200
71415064153
oct367261420
9145006350
1064840464
1133667667
121986b500
1310583250
14887bc9a
155a5bec9
hex3dd6310

64840464 has 120 divisors (see below), whose sum is σ = 205820160. Its totient is φ = 18890496.

The previous prime is 64840453. The next prime is 64840487. The reversal of 64840464 is 46404846.

64840464 is a `hidden beast` number, since 648 + 4 + 0 + 4 + 6 + 4 = 666.

64840464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 34657 + ... + 36479.

It is an arithmetic number, because the mean of its divisors is an integer number (1715168).

Almost surely, 264840464 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 64840464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102910080).

64840464 is an abundant number, since it is smaller than the sum of its proper divisors (140979696).

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

64840464 is a wasteful number, since it uses less digits than its factorization.

64840464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 64840464 is about 8052.3576671680. The cubic root of 64840464 is about 401.7433573905.

The spelling of 64840464 in words is "sixty-four million, eight hundred forty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 36 38 39 48 52 57 72 76 78 104 114 117 144 152 156 171 208 228 234 247 304 312 342 456 468 494 624 684 741 912 936 988 1368 1482 1823 1872 1976 2223 2736 2964 3646 3952 4446 5469 5928 7292 8892 10938 11856 14584 16407 17784 21876 23699 29168 32814 34637 35568 43752 47398 65628 69274 71097 87504 94796 103911 131256 138548 142194 189592 207822 213291 262512 277096 284388 311733 379184 415644 426582 450281 554192 568776 623466 831288 853164 900562 1137552 1246932 1350843 1662576 1706328 1801124 2493864 2701686 3412656 3602248 4052529 4987728 5403372 7204496 8105058 10806744 16210116 21613488 32420232 64840464