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64269072 = 2433753401
BaseRepresentation
bin1111010100101…
…0101100010000
311110221012121000
43311022230100
5112423102242
610213302000
71410164250
oct365125420
9143835530
1064269072
113330733a
1219634900
131041314a
14876d960
155997a4c
hex3d4ab10

64269072 has 160 divisors (see below), whose sum is σ = 215343360. Its totient is φ = 17971200.

The previous prime is 64269071. The next prime is 64269091. The reversal of 64269072 is 27096246.

It is a happy number.

64269072 is a `hidden beast` number, since 642 + 6 + 9 + 0 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (64269071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160072 + ... + 160472.

It is an arithmetic number, because the mean of its divisors is an integer number (1345896).

Almost surely, 264269072 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 64269072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107671680).

64269072 is an abundant number, since it is smaller than the sum of its proper divisors (151074288).

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

64269072 is a wasteful number, since it uses less digits than its factorization.

64269072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 64269072 is about 8016.7993613412. The cubic root of 64269072 is about 400.5597829090.

The spelling of 64269072 in words is "sixty-four million, two hundred sixty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 53 54 56 63 72 84 106 108 112 126 144 159 168 189 212 216 252 318 336 371 378 401 424 432 477 504 636 742 756 802 848 954 1008 1113 1203 1272 1431 1484 1512 1604 1908 2226 2406 2544 2807 2862 2968 3024 3208 3339 3609 3816 4452 4812 5614 5724 5936 6416 6678 7218 7632 8421 8904 9624 10017 10827 11228 11448 13356 14436 16842 17808 19248 20034 21253 21654 22456 22896 25263 26712 28872 33684 40068 42506 43308 44912 50526 53424 57744 63759 67368 75789 80136 85012 86616 101052 127518 134736 148771 151578 160272 170024 173232 191277 202104 255036 297542 303156 340048 382554 404208 446313 510072 573831 595084 606312 765108 892626 1020144 1147662 1190168 1212624 1338939 1530216 1785252 2295324 2380336 2677878 3060432 3570504 4016817 4590648 5355756 7141008 8033634 9181296 10711512 16067268 21423024 32134536 64269072