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24198993 = 34731367
BaseRepresentation
bin101110001001…
…1111101010001
31200112102210000
41130103331101
522143331433
62222400213
7412455000
oct134237521
950472700
1024198993
1112729075
128130069
135023740
1432dcc37
1521d0113
hex1713f51

24198993 has 80 divisors (see below), whose sum is σ = 46076800. Its totient is φ = 12573792.

The previous prime is 24198991. The next prime is 24199033. The reversal of 24198993 is 39989142.

It is not a de Polignac number, because 24198993 - 21 = 24198991 is a prime.

It is not an unprimeable number, because it can be changed into a prime (24198991) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 361146 + ... + 361212.

It is an arithmetic number, because the mean of its divisors is an integer number (575960).

Almost surely, 224198993 is an apocalyptic number.

It is an amenable number.

24198993 is a deficient number, since it is larger than the sum of its proper divisors (21877807).

24198993 is an equidigital number, since it uses as much as digits as its factorization.

24198993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 24198993 is about 4919.2471985051. The cubic root of 24198993 is about 289.2449362863.

Subtracting from 24198993 its product of digits (139968), we obtain a square (24059025 = 49052).

The spelling of 24198993 in words is "twenty-four million, one hundred ninety-eight thousand, nine hundred ninety-three".

Divisors: 1 3 7 9 13 21 27 39 49 63 67 81 91 117 147 189 201 273 343 351 441 469 567 603 637 819 871 1029 1053 1323 1407 1809 1911 2457 2613 3087 3283 3969 4221 4459 5427 5733 6097 7371 7839 9261 9849 12663 13377 17199 18291 22981 23517 27783 29547 37989 40131 42679 51597 54873 68943 70551 88641 120393 128037 164619 206829 265923 298753 361179 384111 493857 620487 896259 1152333 1861461 2688777 3456999 8066331 24198993