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23933952 = 210327253
BaseRepresentation
bin101101101001…
…1010000000000
31200000222012200
41123103100000
522111341302
62212553200
7410302200
oct133232000
950028180
1023933952
1112567a29
128022800
134c5cc03
143270400
15217b81c
hex16d3400

23933952 has 198 divisors, whose sum is σ = 81908658. Its totient is φ = 6709248.

The previous prime is 23933933. The next prime is 23933957. The reversal of 23933952 is 25933932.

It can be written as a sum of positive squares in only one way, i.e., 22127616 + 1806336 = 4704^2 + 1344^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23933957) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 451558 + ... + 451610.

Almost surely, 223933952 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 23933952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40954329).

23933952 is an abundant number, since it is smaller than the sum of its proper divisors (57974706).

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

23933952 is a wasteful number, since it uses less digits than its factorization.

23933952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 65 counting only the distinct ones).

The product of its digits is 43740, while the sum is 36.

The square root of 23933952 is about 4892.2338455965. The cubic root of 23933952 is about 288.1850662378.

It can be divided in two parts, 239 and 33952, that added together give a triangular number (34191 = T261).

The spelling of 23933952 in words is "twenty-three million, nine hundred thirty-three thousand, nine hundred fifty-two".