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23429952 = 2633713149
BaseRepresentation
bin101100101100…
…0001101000000
31122002100212000
41121120031000
521444224302
62154104000
7403102620
oct131301500
948070760
1023429952
11122532a7
127a1b000
134b146a0
14317c880
1520cc31c
hex1658340

23429952 has 224 divisors, whose sum is σ = 85344000. Its totient is φ = 6137856.

The previous prime is 23429951. The next prime is 23429963. The reversal of 23429952 is 25992432.

It is a tau number, because it is divible by the number of its divisors (224).

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 (23429951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157174 + ... + 157322.

It is an arithmetic number, because the mean of its divisors is an integer number (381000).

Almost surely, 223429952 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 23429952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42672000).

23429952 is an abundant number, since it is smaller than the sum of its proper divisors (61914048).

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

23429952 is a wasteful number, since it uses less digits than its factorization.

23429952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 174 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 23429952 is about 4840.4495658978. The cubic root of 23429952 is about 286.1478362622.

The spelling of 23429952 in words is "twenty-three million, four hundred twenty-nine thousand, nine hundred fifty-two".