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23448864 = 253475197
BaseRepresentation
bin101100101110…
…0110100100000
31122010022210110
41121130310200
522000330424
62154331320
7403212015
oct131346440
948108713
1023448864
111226652a
127a29b40
134b2018a
14318570c
1520d2c29
hex165cd20

23448864 has 48 divisors (see below), whose sum is σ = 62875008. Its totient is φ = 7648512.

The previous prime is 23448853. The next prime is 23448871. The reversal of 23448864 is 46884432.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

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 7 ways as a sum of consecutive naturals, for example, 1914 + ... + 7110.

It is an arithmetic number, because the mean of its divisors is an integer number (1309896).

Almost surely, 223448864 is an apocalyptic number.

23448864 is a gapful number since it is divisible by the number (24) 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 23448864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31437504).

23448864 is an abundant number, since it is smaller than the sum of its proper divisors (39426144).

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

23448864 is a wasteful number, since it uses less digits than its factorization.

23448864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5257 (or 5249 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 23448864 is about 4842.4027093995. The cubic root of 23448864 is about 286.2248057255.

The spelling of 23448864 in words is "twenty-three million, four hundred forty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 5197 10394 15591 20788 31182 41576 62364 83152 124728 166304 244259 249456 488518 498912 732777 977036 1465554 1954072 2931108 3908144 5862216 7816288 11724432 23448864