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23506848 = 25353023
BaseRepresentation
bin101100110101…
…0111110100000
31122020021100000
41121222332200
522004204343
62155500000
7403543041
oct131527640
948207300
1023506848
11122a6052
127a57600
134b406a1
14319c8c8
1520e4ed3
hex166afa0

23506848 has 72 divisors (see below), whose sum is σ = 69346368. Its totient is φ = 7833024.

The previous prime is 23506837. The next prime is 23506859. The reversal of 23506848 is 84860532.

It is an interprime number because it is at equal distance from previous prime (23506837) and next prime (23506859).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6265 + ... + 9287.

It is an arithmetic number, because the mean of its divisors is an integer number (963144).

Almost surely, 223506848 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 23506848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34673184).

23506848 is an abundant number, since it is smaller than the sum of its proper divisors (45839520).

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

23506848 is an equidigital number, since it uses as much as digits as its factorization.

23506848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 23506848 is about 4848.3861232373. The cubic root of 23506848 is about 286.4605356678.

The spelling of 23506848 in words is "twenty-three million, five hundred six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3023 3888 6046 7776 9069 12092 18138 24184 27207 36276 48368 54414 72552 81621 96736 108828 145104 163242 217656 244863 290208 326484 435312 489726 652968 734589 870624 979452 1305936 1469178 1958904 2611872 2938356 3917808 5876712 7835616 11753424 23506848