Search a number
-
+
28742568 = 2334783307
BaseRepresentation
bin110110110100…
…1001110101000
32000002021101120
41231221032220
524324230233
62504015240
7466210401
oct155511650
960067346
1028742568
1115251798
129761520
135c5484a
143b629a8
1527cb4b3
hex1b693a8

28742568 has 64 divisors (see below), whose sum is σ = 74511360. Its totient is φ = 9233856.

The previous prime is 28742561. The next prime is 28742569. The reversal of 28742568 is 86524782.

It is a happy number.

It is a super-2 number, since 2×287425682 = 1652270430469248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28742561) 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 15 ways as a sum of consecutive naturals, for example, 93471 + ... + 93777.

It is an arithmetic number, because the mean of its divisors is an integer number (1164240).

Almost surely, 228742568 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 28742568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37255680).

28742568 is an abundant number, since it is smaller than the sum of its proper divisors (45768792).

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

28742568 is a wasteful number, since it uses less digits than its factorization.

28742568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 442 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 28742568 is about 5361.2095650142. The cubic root of 28742568 is about 306.3198842044.

The spelling of 28742568 in words is "twenty-eight million, seven hundred forty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 47 83 94 141 166 188 249 282 307 332 376 498 564 614 664 921 996 1128 1228 1842 1992 2456 3684 3901 7368 7802 11703 14429 15604 23406 25481 28858 31208 43287 46812 50962 57716 76443 86574 93624 101924 115432 152886 173148 203848 305772 346296 611544 1197607 2395214 3592821 4790428 7185642 9580856 14371284 28742568