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64838748 = 2231317231063
BaseRepresentation
bin1111011101010…
…1110001011100
311112000011001010
43313111301130
5113044314443
610233415220
71415056152
oct367256134
9145004033
1064838748
1133666347
121986a510
1310582530
14887b3d2
155a5b733
hex3dd5c5c

64838748 has 96 divisors (see below), whose sum is σ = 180182016. Its totient is φ = 17943552.

The previous prime is 64838729. The next prime is 64838749. The reversal of 64838748 is 84783846.

It is a junction number, because it is equal to n+sod(n) for n = 64838697 and 64838706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64838749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60465 + ... + 61527.

It is an arithmetic number, because the mean of its divisors is an integer number (1876896).

Almost surely, 264838748 is an apocalyptic number.

64838748 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64838748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90091008).

64838748 is an abundant number, since it is smaller than the sum of its proper divisors (115343268).

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

64838748 is a wasteful number, since it uses less digits than its factorization.

64838748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1121 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 64838748 is about 8052.2511138190. The cubic root of 64838748 is about 401.7398133192.

The spelling of 64838748 in words is "sixty-four million, eight hundred thirty-eight thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 17 23 26 34 39 46 51 52 68 69 78 92 102 138 156 204 221 276 299 391 442 598 663 782 884 897 1063 1173 1196 1326 1564 1794 2126 2346 2652 3189 3588 4252 4692 5083 6378 10166 12756 13819 15249 18071 20332 24449 27638 30498 36142 41457 48898 54213 55276 60996 72284 73347 82914 97796 108426 146694 165828 216852 234923 293388 317837 415633 469846 635674 704769 831266 939692 953511 1246899 1271348 1409538 1662532 1907022 2493798 2819076 3814044 4987596 5403229 10806458 16209687 21612916 32419374 64838748