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664377472 = 27112953307
BaseRepresentation
bin100111100110011…
…001100010000000
31201022010212120001
4213212121202000
52330040034342
6145531525344
722315054363
oct4746314200
91638125501
10664377472
113110296a0
121665b9854
13a7849185
14643440da
153d4d78b7
hex27999880

664377472 has 128 divisors (see below), whose sum is σ = 1526817600. Its totient is φ = 285143040.

The previous prime is 664377457. The next prime is 664377479. The reversal of 664377472 is 274773466.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×6643774722 = 882794850602221568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (664377479) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2163943 + ... + 2164249.

Almost surely, 2664377472 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 664377472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763408800).

664377472 is an abundant number, since it is smaller than the sum of its proper divisors (862440128).

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

664377472 is a wasteful number, since it uses less digits than its factorization.

664377472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 402 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 46.

The square root of 664377472 is about 25775.5207900830. The cubic root of 664377472 is about 872.5794201972.

The spelling of 664377472 in words is "six hundred sixty-four million, three hundred seventy-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 29 32 44 53 58 64 88 106 116 128 176 212 232 307 319 352 424 464 583 614 638 704 848 928 1166 1228 1276 1408 1537 1696 1856 2332 2456 2552 3074 3377 3392 3712 4664 4912 5104 6148 6754 6784 8903 9328 9824 10208 12296 13508 16271 16907 17806 18656 19648 20416 24592 27016 32542 33814 35612 37312 39296 40832 49184 54032 65084 67628 71224 74624 97933 98368 108064 130168 135256 142448 178981 195866 196736 216128 260336 270512 284896 357962 391732 432256 471859 520672 541024 569792 715924 783464 943718 1041344 1082048 1139584 1431848 1566928 1887436 2082688 2164096 2863696 3133856 3774872 5190449 5727392 6267712 7549744 10380898 11454784 12535424 15099488 20761796 22909568 30198976 41523592 60397952 83047184 166094368 332188736 664377472