Search a number
-
+
64227648 = 263412199
BaseRepresentation
bin1111010100000…
…0100101000000
311110212002202210
43311000211000
5112420241043
610212342120
71406632422
oct365004500
9143762683
1064227648
1133289201
1219614940
13103ca334
14875c812
15598a633
hex3d40940

64227648 has 84 divisors (see below), whose sum is σ = 175056800. Its totient is φ = 20782080.

The previous prime is 64227623. The next prime is 64227697. The reversal of 64227648 is 84672246.

It is a super-2 number, since 2×642276482 = 8250381535223808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 322653 + ... + 322851.

Almost surely, 264227648 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 64227648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87528400).

64227648 is an abundant number, since it is smaller than the sum of its proper divisors (110829152).

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

64227648 is a wasteful number, since it uses less digits than its factorization.

64227648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 245 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 64227648 is about 8014.2153702031. The cubic root of 64227648 is about 400.4737054531.

The spelling of 64227648 in words is "sixty-four million, two hundred twenty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 199 246 328 398 492 597 656 796 984 1194 1312 1592 1681 1968 2388 2624 3184 3362 3936 4776 5043 6368 6724 7872 8159 9552 10086 12736 13448 16318 19104 20172 24477 26896 32636 38208 40344 48954 53792 65272 80688 97908 107584 130544 161376 195816 261088 322752 334519 391632 522176 669038 783264 1003557 1338076 1566528 2007114 2676152 4014228 5352304 8028456 10704608 16056912 21409216 32113824 64227648