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23740048 = 2423312081
BaseRepresentation
bin101101010001…
…1111010010000
31122200010020001
41122203322100
522034140143
62204455344
7405533653
oct132437220
948603201
1023740048
1112445282
127b4a554
134bc2887
14321d89a
15213e14d
hex16a3e90

23740048 has 40 divisors (see below), whose sum is σ = 49568256. Its totient is φ = 10982400.

The previous prime is 23740039. The next prime is 23740049. The reversal of 23740048 is 84004732.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 23739998 and 23740025.

It is not an unprimeable number, because it can be changed into a prime (23740049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10368 + ... + 12448.

Almost surely, 223740048 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 23740048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24784128).

23740048 is an abundant number, since it is smaller than the sum of its proper divisors (25828208).

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

23740048 is a wasteful number, since it uses less digits than its factorization.

23740048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 23740048 is about 4872.3760117626. The cubic root of 23740048 is about 287.4046988476.

The spelling of 23740048 in words is "twenty-three million, seven hundred forty thousand, forty-eight".

Divisors: 1 2 4 8 16 23 31 46 62 92 124 184 248 368 496 713 1426 2081 2852 4162 5704 8324 11408 16648 33296 47863 64511 95726 129022 191452 258044 382904 516088 765808 1032176 1483753 2967506 5935012 11870024 23740048