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64455264 = 2538307
BaseRepresentation
bin1111010111100…
…0001001100000
311111021200000000
43311320021200
5113000032024
610221300000
71411601136
oct365701140
9144250000
1064455264
1133424215
1219704600
1310479b13
1487bb756
1559d2cc9
hex3d78260

64455264 has 108 divisors (see below), whose sum is σ = 190954764. Its totient is φ = 21415104.

The previous prime is 64455263. The next prime is 64455311. The reversal of 64455264 is 46255446.

64455264 is a `hidden beast` number, since 6 + 44 + 552 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-3 number, since 3×644552643 (a number of 24 digits) contains 333 as substring.

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 (64455263) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 209799 + ... + 210105.

Almost surely, 264455264 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 64455264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95477382).

64455264 is an abundant number, since it is smaller than the sum of its proper divisors (126499500).

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

64455264 is an frugal number, since it uses more digits than its factorization.

64455264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 312 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 64455264 is about 8028.4035772998. The cubic root of 64455264 is about 400.9462265400.

The spelling of 64455264 in words is "sixty-four million, four hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 307 324 432 486 614 648 729 864 921 972 1228 1296 1458 1842 1944 2187 2456 2592 2763 2916 3684 3888 4374 4912 5526 5832 6561 7368 7776 8289 8748 9824 11052 11664 13122 14736 16578 17496 22104 23328 24867 26244 29472 33156 34992 44208 49734 52488 66312 69984 74601 88416 99468 104976 132624 149202 198936 209952 223803 265248 298404 397872 447606 596808 671409 795744 895212 1193616 1342818 1790424 2014227 2387232 2685636 3580848 4028454 5371272 7161696 8056908 10742544 16113816 21485088 32227632 64455264