Search a number
-
+
64097568 = 25358243
BaseRepresentation
bin1111010010000…
…0110100100000
311110121111100000
43310200310200
5112402110233
610205500000
71405551243
oct364406440
9143544300
1064097568
11331aa4a7
1219571600
1310383072
14872725a
155961d13
hex3d20d20

64097568 has 72 divisors (see below), whose sum is σ = 189051408. Its totient is φ = 21363264.

The previous prime is 64097567. The next prime is 64097581. The reversal of 64097568 is 86579046.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (64097567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3655 + ... + 11897.

It is an arithmetic number, because the mean of its divisors is an integer number (2625714).

Almost surely, 264097568 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 64097568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94525704).

64097568 is an abundant number, since it is smaller than the sum of its proper divisors (124953840).

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

64097568 is an equidigital number, since it uses as much as digits as its factorization.

64097568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8268 (or 8248 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 64097568 is about 8006.0956776696. The cubic root of 64097568 is about 400.2031634607.

The spelling of 64097568 in words is "sixty-four million, ninety-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 8243 16486 24729 32972 49458 65944 74187 98916 131888 148374 197832 222561 263776 296748 395664 445122 593496 667683 791328 890244 1186992 1335366 1780488 2003049 2373984 2670732 3560976 4006098 5341464 7121952 8012196 10682928 16024392 21365856 32048784 64097568