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664468464 = 243117971579
BaseRepresentation
bin100111100110101…
…111101111110000
31201022022111101010
4213212233233300
52330100442324
6145533510520
722315613562
oct4746575760
91638274333
10664468464
11311090aa0
12166642440
13a787b70a
1464369332
153d504829
hex279afbf0

664468464 has 80 divisors (see below), whose sum is σ = 1876129920. Its totient is φ = 200974080.

The previous prime is 664468463. The next prime is 664468471. The reversal of 664468464 is 464864466.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664468463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420027 + ... + 421605.

It is an arithmetic number, because the mean of its divisors is an integer number (23451624).

Almost surely, 2664468464 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 664468464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938064960).

664468464 is an abundant number, since it is smaller than the sum of its proper divisors (1211661456).

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

664468464 is a wasteful number, since it uses less digits than its factorization.

664468464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2392 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 48.

The square root of 664468464 is about 25777.2858152289. The cubic root of 664468464 is about 872.6192540394.

The spelling of 664468464 in words is "six hundred sixty-four million, four hundred sixty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 797 1579 1594 2391 3158 3188 4737 4782 6316 6376 8767 9474 9564 12632 12752 17369 17534 18948 19128 25264 26301 34738 35068 37896 38256 52107 52602 69476 70136 75792 104214 105204 138952 140272 208428 210408 277904 416856 420816 833712 1258463 2516926 3775389 5033852 7550778 10067704 13843093 15101556 20135408 27686186 30203112 41529279 55372372 60406224 83058558 110744744 166117116 221489488 332234232 664468464