Search a number
-
+
64684728 = 233217431229
BaseRepresentation
bin1111011011000…
…0001010111000
311111201022202200
43312300022320
5113024402403
610230230200
71413545133
oct366601270
9144638680
1064684728
1133570659
12197b5360
131052a3b4
14883b21a
155a2aca3
hex3db02b8

64684728 has 96 divisors (see below), whose sum is σ = 189961200. Its totient is φ = 19805184.

The previous prime is 64684727. The next prime is 64684729. The reversal of 64684728 is 82748646.

64684728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64684727) and next prime (64684729).

It is a super-2 number, since 2×646847282 = 8368228072867968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64684723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52018 + ... + 53246.

Almost surely, 264684728 is an apocalyptic number.

64684728 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 64684728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94980600).

64684728 is an abundant number, since it is smaller than the sum of its proper divisors (125276472).

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

64684728 is a wasteful number, since it uses less digits than its factorization.

64684728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1294 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 64684728 is about 8042.6816423380. The cubic root of 64684728 is about 401.4214593166.

The spelling of 64684728 in words is "sixty-four million, six hundred eighty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 43 51 68 72 86 102 129 136 153 172 204 258 306 344 387 408 516 612 731 774 1032 1224 1229 1462 1548 2193 2458 2924 3096 3687 4386 4916 5848 6579 7374 8772 9832 11061 13158 14748 17544 20893 22122 26316 29496 41786 44244 52632 52847 62679 83572 88488 105694 125358 158541 167144 188037 211388 250716 317082 376074 422776 475623 501432 634164 752148 898399 951246 1268328 1504296 1796798 1902492 2695197 3593596 3804984 5390394 7187192 8085591 10780788 16171182 21561576 32342364 64684728