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23906144 = 253761331
BaseRepresentation
bin101101100110…
…0011101100000
31122222120001202
41123030131200
522104444034
62212220332
7410125133
oct133143540
948876052
1023906144
1112549049
12800a6a8
134c50362
14326421a
15217347e
hex16cc760

23906144 has 48 divisors (see below), whose sum is σ = 49278096. Its totient is φ = 11404800.

The previous prime is 23906119. The next prime is 23906159. The reversal of 23906144 is 44160932.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72059 + ... + 72389.

It is an arithmetic number, because the mean of its divisors is an integer number (1026627).

Almost surely, 223906144 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 23906144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24639048).

23906144 is an abundant number, since it is smaller than the sum of its proper divisors (25371952).

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

23906144 is a wasteful number, since it uses less digits than its factorization.

23906144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 23906144 is about 4889.3909641181. The cubic root of 23906144 is about 288.0734123553.

The spelling of 23906144 in words is "twenty-three million, nine hundred six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 37 61 74 122 148 244 296 331 488 592 662 976 1184 1324 1952 2257 2648 4514 5296 9028 10592 12247 18056 20191 24494 36112 40382 48988 72224 80764 97976 161528 195952 323056 391904 646112 747067 1494134 2988268 5976536 11953072 23906144