Search a number
-
+
64881024 = 2731341317
BaseRepresentation
bin1111011110000…
…0000110000000
311112002022000220
43313200012000
5113102143044
610234343040
71415323335
oct367400600
9145068026
1064881024
113369508a
121988aa80
1310598850
14888c98c
155a69019
hex3de0180

64881024 has 128 divisors (see below), whose sum is σ = 190723680. Its totient is φ = 19415040.

The previous prime is 64881001. The next prime is 64881043. The reversal of 64881024 is 42018846.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204514 + ... + 204830.

Almost surely, 264881024 is an apocalyptic number.

64881024 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64881024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95361840).

64881024 is an abundant number, since it is smaller than the sum of its proper divisors (125842656).

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

64881024 is a wasteful number, since it uses less digits than its factorization.

64881024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 64881024 is about 8054.8757904762. The cubic root of 64881024 is about 401.8271081489.

The spelling of 64881024 in words is "sixty-four million, eight hundred eighty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 64 78 82 96 104 123 128 156 164 192 208 246 312 317 328 384 416 492 533 624 634 656 832 951 984 1066 1248 1268 1312 1599 1664 1902 1968 2132 2496 2536 2624 3198 3804 3936 4121 4264 4992 5072 5248 6396 7608 7872 8242 8528 10144 12363 12792 12997 15216 15744 16484 17056 20288 24726 25584 25994 30432 32968 34112 38991 40576 49452 51168 51988 60864 65936 68224 77982 98904 102336 103976 121728 131872 155964 168961 197808 204672 207952 263744 311928 337922 395616 415904 506883 527488 623856 675844 791232 831808 1013766 1247712 1351688 1582464 1663616 2027532 2495424 2703376 4055064 4990848 5406752 8110128 10813504 16220256 21627008 32440512 64881024