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23939424 = 2532101823
BaseRepresentation
bin101101101010…
…0100101100000
31200001020201100
41123110211200
522112030144
62213034400
7410324145
oct133244540
950036640
1023939424
1112571053
128025a00
134c62552
1432723cc
15217d269
hex16d4960

23939424 has 72 divisors (see below), whose sum is σ = 68835312. Its totient is φ = 7891200.

The previous prime is 23939423. The next prime is 23939467. The reversal of 23939424 is 42493932.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23939423) by changing a digit.

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, 28677 + ... + 29499.

It is an arithmetic number, because the mean of its divisors is an integer number (956046).

Almost surely, 223939424 is an apocalyptic number.

23939424 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 23939424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34417656).

23939424 is an abundant number, since it is smaller than the sum of its proper divisors (44895888).

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

23939424 is a wasteful number, since it uses less digits than its factorization.

23939424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 929 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 23939424 is about 4892.7930673594. The cubic root of 23939424 is about 288.2070270701.

The spelling of 23939424 in words is "twenty-three million, nine hundred thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 101 144 202 288 303 404 606 808 823 909 1212 1616 1646 1818 2424 2469 3232 3292 3636 4848 4938 6584 7272 7407 9696 9876 13168 14544 14814 19752 26336 29088 29628 39504 59256 79008 83123 118512 166246 237024 249369 332492 498738 664984 748107 997476 1329968 1496214 1994952 2659936 2992428 3989904 5984856 7979808 11969712 23939424