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64744416 = 253211107191
BaseRepresentation
bin1111011011111…
…0101111100000
311111211100122100
43312332233200
5113033310131
610231410400
71414214142
oct366765740
9144740570
1064744416
1133601490
1219823a00
131054b609
148854c92
155a3d7e6
hex3dbebe0

64744416 has 144 divisors (see below), whose sum is σ = 203793408. Its totient is φ = 19334400.

The previous prime is 64744411. The next prime is 64744489. The reversal of 64744416 is 61444746.

64744416 is a `hidden beast` number, since 647 + 4 + 4 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64744411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338881 + ... + 339071.

It is an arithmetic number, because the mean of its divisors is an integer number (1415232).

Almost surely, 264744416 is an apocalyptic number.

64744416 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64744416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101896704).

64744416 is an abundant number, since it is smaller than the sum of its proper divisors (139048992).

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

64744416 is a wasteful number, since it uses less digits than its factorization.

64744416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 314 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 64744416 is about 8046.3914893572. The cubic root of 64744416 is about 401.5448922548.

The spelling of 64744416 in words is "sixty-four million, seven hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 107 132 144 176 191 198 214 264 288 321 352 382 396 428 528 573 642 764 792 856 963 1056 1146 1177 1284 1528 1584 1712 1719 1926 2101 2292 2354 2568 3056 3168 3424 3438 3531 3852 4202 4584 4708 5136 6112 6303 6876 7062 7704 8404 9168 9416 10272 10593 12606 13752 14124 15408 16808 18336 18832 18909 20437 21186 25212 27504 28248 30816 33616 37664 37818 40874 42372 50424 55008 56496 61311 67232 75636 81748 84744 100848 112992 122622 151272 163496 169488 183933 201696 224807 245244 302544 326992 338976 367866 449614 490488 605088 653984 674421 735732 899228 980976 1348842 1471464 1798456 1961952 2023263 2697684 2942928 3596912 4046526 5395368 5885856 7193824 8093052 10790736 16186104 21581472 32372208 64744416