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23448672 = 2532136263
BaseRepresentation
bin101100101110…
…0110001100000
31122010022112100
41121130301200
522000324142
62154330400
7403211322
oct131346140
948108470
1023448672
1112266375
127a29a00
134b20070
143185612
1520d2b4c
hex165cc60

23448672 has 72 divisors (see below), whose sum is σ = 71823024. Its totient is φ = 7213824.

The previous prime is 23448653. The next prime is 23448697. The reversal of 23448672 is 27684432.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 613 + ... + 6875.

It is an arithmetic number, because the mean of its divisors is an integer number (997542).

Almost surely, 223448672 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 23448672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35911512).

23448672 is an abundant number, since it is smaller than the sum of its proper divisors (48374352).

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

23448672 is a wasteful number, since it uses less digits than its factorization.

23448672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6292 (or 6281 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 23448672 is about 4842.3828844898. The cubic root of 23448672 is about 286.2240245176.

The spelling of 23448672 in words is "twenty-three million, four hundred forty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 6263 12526 18789 25052 37578 50104 56367 75156 81419 100208 112734 150312 162838 200416 225468 244257 300624 325676 450936 488514 601248 651352 732771 901872 977028 1302704 1465542 1803744 1954056 2605408 2931084 3908112 5862168 7816224 11724336 23448672