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23004828 = 223271143193
BaseRepresentation
bin101011111000…
…0011010011100
31121021202200200
41113300122130
521342123303
62141023500
7366352320
oct127603234
947252620
1023004828
1111a92960
127854b90
1349c6032
1430ab980
1520463a3
hex15f069c

23004828 has 144 divisors (see below), whose sum is σ = 74570496. Its totient is φ = 5806080.

The previous prime is 23004803. The next prime is 23004829. The reversal of 23004828 is 82840032.

It is a super-2 number, since 2×230048282 = 1058444222619168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23004829) 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 47 ways as a sum of consecutive naturals, for example, 119100 + ... + 119292.

Almost surely, 223004828 is an apocalyptic number.

23004828 is a gapful number since it is divisible by the number (28) 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 23004828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37285248).

23004828 is an abundant number, since it is smaller than the sum of its proper divisors (51565668).

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

23004828 is a wasteful number, since it uses less digits than its factorization.

23004828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 23004828 is about 4796.3348506959. The cubic root of 23004828 is about 284.4065954187.

It can be divided in two parts, 23004 and 828, that added together give a palindrome (23832).

The spelling of 23004828 in words is "twenty-three million, four thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 43 44 63 66 77 84 86 99 126 129 132 154 172 193 198 231 252 258 301 308 386 387 396 462 473 516 579 602 693 772 774 903 924 946 1158 1204 1351 1386 1419 1548 1737 1806 1892 2123 2316 2702 2709 2772 2838 3311 3474 3612 4053 4246 4257 5404 5418 5676 6369 6622 6948 8106 8299 8492 8514 9933 10836 12159 12738 13244 14861 16212 16598 17028 19107 19866 24318 24897 25476 29722 29799 33196 38214 39732 44583 48636 49794 58093 59444 59598 74691 76428 89166 91289 99588 116186 119196 133749 149382 174279 178332 182578 232372 267498 273867 298764 348558 365156 522837 534996 547734 639023 697116 821601 1045674 1095468 1278046 1643202 1917069 2091348 2556092 3286404 3834138 5751207 7668276 11502414 23004828