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23905152 = 27336917
BaseRepresentation
bin101101100110…
…0001110000000
31122222111201000
41123030032000
522104431102
62212212000
7410122215
oct133141600
948874630
1023905152
1112548327
12800a000
134c4ca7b
143263b0c
15217301c
hex16cc380

23905152 has 64 divisors (see below), whose sum is σ = 70563600. Its totient is φ = 7967232.

The previous prime is 23905139. The next prime is 23905157. The reversal of 23905152 is 25150932.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23905157) 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, 3 + ... + 6914.

Almost surely, 223905152 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 23905152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35281800).

23905152 is an abundant number, since it is smaller than the sum of its proper divisors (46658448).

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

23905152 is an equidigital number, since it uses as much as digits as its factorization.

23905152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6940 (or 6922 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 23905152 is about 4889.2895189383. The cubic root of 23905152 is about 288.0694277063.

The spelling of 23905152 in words is "twenty-three million, nine hundred five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 6917 13834 20751 27668 41502 55336 62253 83004 110672 124506 166008 186759 221344 249012 332016 373518 442688 498024 664032 747036 885376 996048 1328064 1494072 1992096 2656128 2988144 3984192 5976288 7968384 11952576 23905152