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23442048 = 273471719
BaseRepresentation
bin101100101101…
…1001010000000
31122002222110000
41121123022000
522000121143
62154240000
7403153110
oct131331200
948088400
1023442048
11122613a3
127a26000
134b1a046
143183040
1520d0bd3
hex165b280

23442048 has 320 divisors, whose sum is σ = 88862400. Its totient is φ = 5971968.

The previous prime is 23442007. The next prime is 23442061. The reversal of 23442048 is 84024432.

It is a happy number.

23442048 is a `hidden beast` number, since 234 + 420 + 4 + 8 = 666.

It is a super-2 number, since 2×234420482 = 1099059228868608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1233783 + ... + 1233801.

It is an arithmetic number, because the mean of its divisors is an integer number (277695).

Almost surely, 223442048 is an apocalyptic number.

23442048 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 23442048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44431200).

23442048 is an abundant number, since it is smaller than the sum of its proper divisors (65420352).

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

23442048 is a wasteful number, since it uses less digits than its factorization.

23442048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 23442048 is about 4841.6988753949. The cubic root of 23442048 is about 286.1970702336.

The spelling of 23442048 in words is "twenty-three million, four hundred forty-two thousand, forty-eight".