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23788842 = 23711231151
BaseRepresentation
bin101101010111…
…1110100101010
31122202121011020
41122233310222
522042220332
62205513310
7406126140
oct132576452
948677136
1023788842
1112478a00
127b72836
134c0bb4c
143233590
15214d82c
hex16afd2a

23788842 has 96 divisors (see below), whose sum is σ = 62103552. Its totient is φ = 5940000.

The previous prime is 23788837. The next prime is 23788861. The reversal of 23788842 is 24888732.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 23788794 and 23788803.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157467 + ... + 157617.

It is an arithmetic number, because the mean of its divisors is an integer number (646912).

Almost surely, 223788842 is an apocalyptic number.

23788842 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23788842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31051776).

23788842 is an abundant number, since it is smaller than the sum of its proper divisors (38314710).

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

23788842 is a wasteful number, since it uses less digits than its factorization.

23788842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 205 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 23788842 is about 4877.3806494880. The cubic root of 23788842 is about 287.6014694135.

The spelling of 23788842 in words is "twenty-three million, seven hundred eighty-eight thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 62 66 77 93 121 151 154 186 217 231 242 302 341 363 434 453 462 651 682 726 847 906 1023 1057 1302 1661 1694 2046 2114 2387 2541 3171 3322 3751 4681 4774 4983 5082 6342 7161 7502 9362 9966 11253 11627 14043 14322 18271 22506 23254 26257 28086 32767 34881 36542 51491 52514 54813 65534 69762 78771 98301 102982 109626 127897 154473 157542 196602 255794 308946 360437 383691 566401 720874 767382 1081311 1132802 1699203 2162622 3398406 3964807 7929614 11894421 23788842