Search a number
-
+
664464024 = 233271518731
BaseRepresentation
bin100111100110101…
…110101010011000
31201022022021021200
4213212232222120
52330100322044
6145533434200
722315564620
oct4746565230
91638267250
10664464024
11311088724
1216663b960
13a78796a3
1464367880
153d503369
hex279aea98

664464024 has 96 divisors (see below), whose sum is σ = 2070531840. Its totient is φ = 188568000.

The previous prime is 664464011. The next prime is 664464049. The reversal of 664464024 is 420464466.

It is a happy number.

664464024 is a `hidden beast` number, since 6 + 6 + 4 + 4 + 640 + 2 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 664464024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71739 + ... + 80469.

It is an arithmetic number, because the mean of its divisors is an integer number (21568040).

Almost surely, 2664464024 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 664464024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035265920).

664464024 is an abundant number, since it is smaller than the sum of its proper divisors (1406067816).

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

664464024 is a wasteful number, since it uses less digits than its factorization.

664464024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8901 (or 8894 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 664464024 is about 25777.1996927517. The cubic root of 664464024 is about 872.6173104116.

The spelling of 664464024 in words is "six hundred sixty-four million, four hundred sixty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 151 168 252 302 453 504 604 906 1057 1208 1359 1812 2114 2718 3171 3624 4228 5436 6342 8456 8731 9513 10872 12684 17462 19026 25368 26193 34924 38052 52386 61117 69848 76104 78579 104772 122234 157158 183351 209544 244468 314316 366702 488936 550053 628632 733404 1100106 1318381 1466808 2200212 2636762 3955143 4400424 5273524 7910286 9228667 10547048 11865429 15820572 18457334 23730858 27686001 31641144 36914668 47461716 55372002 73829336 83058003 94923432 110744004 166116006 221488008 332232012 664464024