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23028288 = 263315373
BaseRepresentation
bin101011111011…
…0001001000000
31121022221212120
41113312021000
521343401123
62141324240
7366510603
oct127661100
947287776
1023028288
1111aa9548
127866680
134a0390a
1430b633a
15204d2e3
hex15f6240

23028288 has 112 divisors (see below), whose sum is σ = 64958976. Its totient is φ = 7188480.

The previous prime is 23028287. The next prime is 23028301. The reversal of 23028288 is 88282032.

It is not an unprimeable number, because it can be changed into a prime (23028287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315420 + ... + 315492.

Almost surely, 223028288 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 23028288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32479488).

23028288 is an abundant number, since it is smaller than the sum of its proper divisors (41930688).

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

23028288 is a wasteful number, since it uses less digits than its factorization.

23028288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 23028288 is about 4798.7798449189. The cubic root of 23028288 is about 284.5032405222.

The spelling of 23028288 in words is "twenty-three million, twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 53 62 64 73 93 96 106 124 146 159 186 192 212 219 248 292 318 372 424 438 496 584 636 744 848 876 992 1168 1272 1488 1643 1696 1752 1984 2263 2336 2544 2976 3286 3392 3504 3869 4526 4672 4929 5088 5952 6572 6789 7008 7738 9052 9858 10176 11607 13144 13578 14016 15476 18104 19716 23214 26288 27156 30952 36208 39432 46428 52576 54312 61904 72416 78864 92856 105152 108624 119939 123808 144832 157728 185712 217248 239878 247616 315456 359817 371424 434496 479756 719634 742848 959512 1439268 1919024 2878536 3838048 5757072 7676096 11514144 23028288