Search a number
-
+
4247128728 = 233514271531
BaseRepresentation
bin1111110100100110…
…0000101010011000
3101221222201111100000
43331021200222120
532144231104403
61541234413000
7210150666333
oct37511405230
911858644300
104247128728
11188a436747
129a6431160
13528b9a22b
142c40c361a
1519ccdd7a3
hexfd260a98

4247128728 has 96 divisors (see below), whose sum is σ = 11944820160. Its totient is φ = 1413793440.

The previous prime is 4247128673. The next prime is 4247128741. The reversal of 4247128728 is 8278217424.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2773323 + ... + 2774853.

It is an arithmetic number, because the mean of its divisors is an integer number (124425210).

Almost surely, 24247128728 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 4247128728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5972410080).

4247128728 is an abundant number, since it is smaller than the sum of its proper divisors (7697691432).

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

4247128728 is a wasteful number, since it uses less digits than its factorization.

4247128728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2979 (or 2963 counting only the distinct ones).

The product of its digits is 401408, while the sum is 45.

The square root of 4247128728 is about 65169.9986803744. The cubic root of 4247128728 is about 1619.4410417294.

The spelling of 4247128728 in words is "four billion, two hundred forty-seven million, one hundred twenty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1427 1531 1944 2854 3062 4281 4593 5708 6124 8562 9186 11416 12248 12843 13779 17124 18372 25686 27558 34248 36744 38529 41337 51372 55116 77058 82674 102744 110232 115587 124011 154116 165348 231174 248022 308232 330696 346761 372033 462348 496044 693522 744066 924696 992088 1387044 1488132 2184737 2774088 2976264 4369474 6554211 8738948 13108422 17477896 19662633 26216844 39325266 52433688 58987899 78650532 117975798 157301064 176963697 235951596 353927394 471903192 530891091 707854788 1061782182 1415709576 2123564364 4247128728