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64266768 = 24324397107
BaseRepresentation
bin1111010100101…
…0001000010000
311110221002102200
43311022020100
5112423014033
610213243200
71410154446
oct365121020
9143832380
1064266768
1133305635
1219633500
1310412097
14876cb96
155997013
hex3d4a210

64266768 has 120 divisors (see below), whose sum is σ = 187675488. Its totient is φ = 20514816.

The previous prime is 64266767. The next prime is 64266809. The reversal of 64266768 is 86766246.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (580608) is a multiple of the sum of its prime divisors (252).

It is not an unprimeable number, because it can be changed into a prime (64266767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 600571 + ... + 600677.

Almost surely, 264266768 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 64266768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93837744).

64266768 is an abundant number, since it is smaller than the sum of its proper divisors (123408720).

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

64266768 is a wasteful number, since it uses less digits than its factorization.

64266768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 252 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 64266768 is about 8016.6556618081. The cubic root of 64266768 is about 400.5549962584.

The spelling of 64266768 in words is "sixty-four million, two hundred sixty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 97 107 129 144 172 194 214 258 291 321 344 387 388 428 516 582 642 688 774 776 856 873 963 1032 1164 1284 1548 1552 1712 1746 1926 2064 2328 2568 3096 3492 3852 4171 4601 4656 5136 6192 6984 7704 8342 9202 10379 12513 13803 13968 15408 16684 18404 20758 25026 27606 31137 33368 36808 37539 41409 41516 50052 55212 62274 66736 73616 75078 82818 83032 93411 100104 110424 124548 150156 165636 166064 186822 200208 220848 249096 300312 331272 373644 446297 498192 600624 662544 747288 892594 1338891 1494576 1785188 2677782 3570376 4016673 5355564 7140752 8033346 10711128 16066692 21422256 32133384 64266768