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23713648 = 247329149
BaseRepresentation
bin101101001110…
…1011101110000
31122121210000021
41122131131300
522032314043
62204133224
7405364000
oct132353560
948553007
1023713648
1112427462
127b37214
134bb385a
143214000
1521363ed
hex169d770

23713648 has 80 divisors (see below), whose sum is σ = 55800000. Its totient is φ = 9746688.

The previous prime is 23713643. The next prime is 23713663. The reversal of 23713648 is 84631732.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23713643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159078 + ... + 159226.

It is an arithmetic number, because the mean of its divisors is an integer number (697500).

Almost surely, 223713648 is an apocalyptic number.

23713648 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 23713648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27900000).

23713648 is an abundant number, since it is smaller than the sum of its proper divisors (32086352).

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

23713648 is a wasteful number, since it uses less digits than its factorization.

23713648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 187 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 23713648 is about 4869.6661076505. Note that the first 3 decimals coincide. The cubic root of 23713648 is about 287.2981236864.

The spelling of 23713648 in words is "twenty-three million, seven hundred thirteen thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 98 112 116 149 196 203 232 298 343 392 406 464 596 686 784 812 1043 1192 1372 1421 1624 2086 2384 2744 2842 3248 4172 4321 5488 5684 7301 8344 8642 9947 11368 14602 16688 17284 19894 22736 29204 30247 34568 39788 51107 58408 60494 69136 79576 102214 116816 120988 159152 204428 211729 241976 408856 423458 483952 817712 846916 1482103 1693832 2964206 3387664 5928412 11856824 23713648