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23805952 = 2141453
BaseRepresentation
bin101101011010…
…0000000000000
31122210110121221
41122310000000
522043242302
62210124424
7406230052
oct132640000
948713557
1023805952
111248a845
127b80714
134c16881
1432398d2
152153937
hex16b4000

23805952 has 30 divisors (see below), whose sum is σ = 47643218. Its totient is φ = 11894784.

The previous prime is 23805941. The next prime is 23805959. The reversal of 23805952 is 25950832.

It can be written as a sum of positive squares in only one way, i.e., 23658496 + 147456 = 4864^2 + 384^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23805959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15658 + ... + 17110.

Almost surely, 223805952 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 23805952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23821609).

23805952 is an abundant number, since it is smaller than the sum of its proper divisors (23837266).

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

23805952 is an frugal number, since it uses more digits than its factorization.

23805952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 23805952 is about 4879.1343494518. The cubic root of 23805952 is about 287.6704048391.

The spelling of 23805952 in words is "twenty-three million, eight hundred five thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1453 2048 2906 4096 5812 8192 11624 16384 23248 46496 92992 185984 371968 743936 1487872 2975744 5951488 11902976 23805952