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23923872 = 2532711867
BaseRepresentation
bin101101101000…
…0110010100000
31200000110101100
41123100302200
522111030442
62212434400
7410230620
oct133206240
950013340
1023923872
11125603a5
128018a00
134c5844b
14326a880
15217884c
hex16d0ca0

23923872 has 72 divisors (see below), whose sum is σ = 77759136. Its totient is φ = 6834816.

The previous prime is 23923871. The next prime is 23923883. The reversal of 23923872 is 27832932.

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 not an unprimeable number, because it can be changed into a prime (23923871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3918 + ... + 7949.

It is an arithmetic number, because the mean of its divisors is an integer number (1079988).

Almost surely, 223923872 is an apocalyptic number.

It is an amenable number.

23923872 is an abundant number, since it is smaller than the sum of its proper divisors (53835264).

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

23923872 is a wasteful number, since it uses less digits than its factorization.

23923872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11890 (or 11879 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 23923872 is about 4891.2035328741. The cubic root of 23923872 is about 288.1446033092.

The spelling of 23923872 in words is "twenty-three million, nine hundred twenty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 11867 23734 35601 47468 71202 83069 94936 106803 142404 166138 189872 213606 249207 284808 332276 379744 427212 498414 569616 664552 747621 854424 996828 1139232 1329104 1495242 1708848 1993656 2658208 2990484 3417696 3987312 5980968 7974624 11961936 23923872