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64369728 = 26354139
BaseRepresentation
bin1111010110001…
…1010001000000
311111010022200000
43311203101000
5112434312403
610215400000
71411063563
oct365432100
9144108600
1064369728
1133375a25
1219683000
1310449bc7
1487984da
1559b77a3
hex3d63440

64369728 has 84 divisors (see below), whose sum is σ = 191383920. Its totient is φ = 21451392.

The previous prime is 64369727. The next prime is 64369757. The reversal of 64369728 is 82796346.

It is not an unprimeable number, because it can be changed into a prime (64369727) 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 11 ways as a sum of consecutive naturals, for example, 13483 + ... + 17621.

It is an arithmetic number, because the mean of its divisors is an integer number (2278380).

Almost surely, 264369728 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 64369728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95691960).

64369728 is an abundant number, since it is smaller than the sum of its proper divisors (127014192).

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

64369728 is an equidigital number, since it uses as much as digits as its factorization.

64369728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166 (or 4144 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 64369728 is about 8023.0747223244. The cubic root of 64369728 is about 400.7687881321.

The spelling of 64369728 in words is "sixty-four million, three hundred sixty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 4139 5184 7776 8278 12417 15552 16556 24834 33112 37251 49668 66224 74502 99336 111753 132448 149004 198672 223506 264896 298008 335259 397344 447012 596016 670518 794688 894024 1005777 1192032 1341036 1788048 2011554 2384064 2682072 3576096 4023108 5364144 7152192 8046216 10728288 16092432 21456576 32184864 64369728