Search a number
-
+
23845968 = 2433172191
BaseRepresentation
bin101101011110…
…1110001010000
31122212111112000
41122331301100
522101032333
62211034000
7406454526
oct132756120
948774460
1023845968
1112507913
127b9b900
134c2bb53
14324a316
152160713
hex16bdc50

23845968 has 120 divisors (see below), whose sum is σ = 73090560. Its totient is φ = 7441920.

The previous prime is 23845957. The next prime is 23845973. The reversal of 23845968 is 86954832.

It is a congruent number.

It is an unprimeable number.

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, 124753 + ... + 124943.

It is an arithmetic number, because the mean of its divisors is an integer number (609088).

Almost surely, 223845968 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 23845968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36545280).

23845968 is an abundant number, since it is smaller than the sum of its proper divisors (49244592).

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

23845968 is a wasteful number, since it uses less digits than its factorization.

23845968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 213 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 23845968 is about 4883.2333550630. The cubic root of 23845968 is about 287.8314986557.

The spelling of 23845968 in words is "twenty-three million, eight hundred forty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 191 204 216 272 289 306 382 408 432 459 573 578 612 764 816 867 918 1146 1156 1224 1528 1719 1734 1836 2292 2312 2448 2601 3056 3247 3438 3468 3672 4584 4624 5157 5202 6494 6876 6936 7344 7803 9168 9741 10314 10404 12988 13752 13872 15606 19482 20628 20808 25976 27504 29223 31212 38964 41256 41616 51952 55199 58446 62424 77928 82512 87669 110398 116892 124848 155856 165597 175338 220796 233784 331194 350676 441592 467568 496791 662388 701352 883184 993582 1324776 1402704 1490373 1987164 2649552 2980746 3974328 5961492 7948656 11922984 23845968