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23382752 = 251753811
BaseRepresentation
bin101100100110…
…0101011100000
31121222222002212
41121030223200
521441222002
62153101252
7402515201
oct131145340
947888085
1023382752
1112220898
1279b7828
134ac9063
1431695a8
1520bd352
hex164cae0

23382752 has 48 divisors (see below), whose sum is σ = 49723632. Its totient is φ = 10782720.

The previous prime is 23382731. The next prime is 23382757. The reversal of 23382752 is 25728332.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23382757) 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 7 ways as a sum of consecutive naturals, for example, 28427 + ... + 29237.

It is an arithmetic number, because the mean of its divisors is an integer number (1035909).

Almost surely, 223382752 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 23382752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24861816).

23382752 is an abundant number, since it is smaller than the sum of its proper divisors (26340880).

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

23382752 is a wasteful number, since it uses less digits than its factorization.

23382752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 883 counting only the distinct ones).

The product of its digits is 20160, while the sum is 32.

The square root of 23382752 is about 4835.5715277514. The cubic root of 23382752 is about 285.9555573435.

The spelling of 23382752 in words is "twenty-three million, three hundred eighty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 53 68 106 136 212 272 424 544 811 848 901 1622 1696 1802 3244 3604 6488 7208 12976 13787 14416 25952 27574 28832 42983 55148 85966 110296 171932 220592 343864 441184 687728 730711 1375456 1461422 2922844 5845688 11691376 23382752