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23452416 = 28351329
BaseRepresentation
bin101100101110…
…1101100000000
31122010111200000
41121131230000
522000434131
62154400000
7403225251
oct131355400
948114600
1023452416
1112269169
127a30000
134b21990
143186b28
1520d3ce6
hex165db00

23452416 has 216 divisors, whose sum is σ = 78121680. Its totient is φ = 6967296.

The previous prime is 23452409. The next prime is 23452417. The reversal of 23452416 is 61425432.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 23452416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23452417) 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 23 ways as a sum of consecutive naturals, for example, 808690 + ... + 808718.

Almost surely, 223452416 is an apocalyptic number.

23452416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23452416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39060840).

23452416 is an abundant number, since it is smaller than the sum of its proper divisors (54669264).

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

23452416 is an equidigital number, since it uses as much as digits as its factorization.

23452416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 47 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 23452416 is about 4842.7694555905. The cubic root of 23452416 is about 286.2392573023.

Adding to 23452416 its reverse (61425432), we get a palindrome (84877848).

It can be divided in two parts, 2345 and 2416, that added together give a square (4761 = 692).

The spelling of 23452416 in words is "twenty-three million, four hundred fifty-two thousand, four hundred sixteen".