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64648368 = 243483601
BaseRepresentation
bin1111011010011…
…1010010110000
311111122110220000
43312213102300
5113022221433
610225350000
71413334131
oct366472260
9144573800
1064648368
1133546304
1219798300
1310516995
14882bc88
155a20113
hex3da74b0

64648368 has 100 divisors (see below), whose sum is σ = 189680568. Its totient is φ = 21254400.

The previous prime is 64648357. The next prime is 64648373. The reversal of 64648368 is 86384646.

It is a super-2 number, since 2×646483682 = 8358822970126848, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 107268 + ... + 107868.

Almost surely, 264648368 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 64648368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94840284).

64648368 is an abundant number, since it is smaller than the sum of its proper divisors (125032200).

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

64648368 is a wasteful number, since it uses less digits than its factorization.

64648368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 689 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 64648368 is about 8040.4208845060. The cubic root of 64648368 is about 401.3462307407.

The spelling of 64648368 in words is "sixty-four million, six hundred forty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 83 108 144 162 166 216 249 324 332 432 498 601 648 664 747 996 1202 1296 1328 1494 1803 1992 2241 2404 2988 3606 3984 4482 4808 5409 5976 6723 7212 8964 9616 10818 11952 13446 14424 16227 17928 21636 26892 28848 32454 35856 43272 48681 49883 53784 64908 86544 97362 99766 107568 129816 149649 194724 199532 259632 299298 389448 399064 448947 598596 778896 798128 897894 1197192 1346841 1795788 2394384 2693682 3591576 4040523 5387364 7183152 8081046 10774728 16162092 21549456 32324184 64648368