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64024896 = 26313113227
BaseRepresentation
bin1111010000111…
…1000101000000
311110110210122110
43310033011000
5112342244041
610204135320
71405126335
oct364170500
9143423573
1064024896
113315a941
1219537540
1310358c70
14870898c
15594a516
hex3d0f140

64024896 has 112 divisors (see below), whose sum is σ = 184855104. Its totient is φ = 19439616.

The previous prime is 64024879. The next prime is 64024897. The reversal of 64024896 is 69842046.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64024897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281935 + ... + 282161.

It is an arithmetic number, because the mean of its divisors is an integer number (1650492).

Almost surely, 264024896 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 64024896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92427552).

64024896 is an abundant number, since it is smaller than the sum of its proper divisors (120830208).

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

64024896 is a wasteful number, since it uses less digits than its factorization.

64024896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 64024896 is about 8001.5558487084. Note that the first 3 decimals coincide. The cubic root of 64024896 is about 400.0518599427.

The spelling of 64024896 in words is "sixty-four million, twenty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 113 156 192 208 226 227 312 339 416 452 454 624 678 681 832 904 908 1248 1356 1362 1469 1808 1816 2496 2712 2724 2938 2951 3616 3632 4407 5424 5448 5876 5902 7232 7264 8814 8853 10848 10896 11752 11804 14528 17628 17706 21696 21792 23504 23608 25651 35256 35412 43584 47008 47216 51302 70512 70824 76953 94016 94432 102604 141024 141648 153906 188864 205208 282048 283296 307812 333463 410416 566592 615624 666926 820832 1000389 1231248 1333852 1641664 2000778 2462496 2667704 4001556 4924992 5335408 8003112 10670816 16006224 21341632 32012448 64024896