Search a number
-
+
64661328 = 243516631
BaseRepresentation
bin1111011010101…
…0011101010000
311111200010200000
43312222131100
5113023130303
610225530000
71413416664
oct366523520
9144603600
1064661328
1133555016
12197a3900
131051c854
1488328a4
155a23da3
hex3daa750

64661328 has 60 divisors (see below), whose sum is σ = 187675488. Its totient is φ = 21552480.

The previous prime is 64661327. The next prime is 64661339. The reversal of 64661328 is 82316646.

64661328 is a `hidden beast` number, since 646 + 6 + 1 + 3 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 64661292 and 64661301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64661321) 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, 4428 + ... + 12203.

Almost surely, 264661328 is an apocalyptic number.

It is an amenable number.

64661328 is an abundant number, since it is smaller than the sum of its proper divisors (123014160).

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

64661328 is a wasteful number, since it uses less digits than its factorization.

64661328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16654 (or 16636 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 64661328 is about 8041.2267720790. The cubic root of 64661328 is about 401.3730481210.

The spelling of 64661328 in words is "sixty-four million, six hundred sixty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 16631 33262 49893 66524 99786 133048 149679 199572 266096 299358 399144 449037 598716 798288 898074 1197432 1347111 1796148 2394864 2694222 3592296 4041333 5388444 7184592 8082666 10776888 16165332 21553776 32330664 64661328