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64540008 = 233213531301
BaseRepresentation
bin1111011000110…
…0110101101000
311111102222020200
43312030311220
5113010240013
610223152200
71412403201
oct366146550
9144388220
1064540008
1133481955
1219745660
13104a9570
1488005a8
1559ece73
hex3d8cd68

64540008 has 96 divisors (see below), whose sum is σ = 191940840. Its totient is φ = 19468800.

The previous prime is 64539997. The next prime is 64540009. The reversal of 64540008 is 80004546.

It can be written as a sum of positive squares in 4 ways, for example, as 28323684 + 36216324 = 5322^2 + 6018^2 .

It is not an unprimeable number, because it can be changed into a prime (64540009) 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, 48958 + ... + 50258.

Almost surely, 264540008 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 64540008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95970420).

64540008 is an abundant number, since it is smaller than the sum of its proper divisors (127400832).

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

64540008 is a wasteful number, since it uses less digits than its factorization.

64540008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 64540008 is about 8033.6796052618. The cubic root of 64540008 is about 401.1218672597.

The spelling of 64540008 in words is "sixty-four million, five hundred forty thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 53 72 78 104 106 117 156 159 212 234 312 318 424 468 477 636 689 936 954 1272 1301 1378 1908 2067 2602 2756 3816 3903 4134 5204 5512 6201 7806 8268 10408 11709 12402 15612 16536 16913 23418 24804 31224 33826 46836 49608 50739 67652 68953 93672 101478 135304 137906 152217 202956 206859 275812 304434 405912 413718 551624 608868 620577 827436 896389 1217736 1241154 1654872 1792778 2482308 2689167 3585556 4964616 5378334 7171112 8067501 10756668 16135002 21513336 32270004 64540008