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23838816 = 2532391039
BaseRepresentation
bin101101011110…
…0000001100000
31122212010201010
41122330001200
522100320231
62210540520
7406424631
oct132740140
948763633
1023838816
1112502501
127b97740
134c28811
143247888
15215d546
hex16bc060

23838816 has 48 divisors (see below), whose sum is σ = 62899200. Its totient is φ = 7905408.

The previous prime is 23838799. The next prime is 23838821. The reversal of 23838816 is 61883832.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22425 + ... + 23463.

It is an arithmetic number, because the mean of its divisors is an integer number (1310400).

Almost surely, 223838816 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 23838816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31449600).

23838816 is an abundant number, since it is smaller than the sum of its proper divisors (39060384).

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

23838816 is a wasteful number, since it uses less digits than its factorization.

23838816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1283 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 23838816 is about 4882.5009984638. The cubic root of 23838816 is about 287.8027198321.

The spelling of 23838816 in words is "twenty-three million, eight hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 239 478 717 956 1039 1434 1912 2078 2868 3117 3824 4156 5736 6234 7648 8312 11472 12468 16624 22944 24936 33248 49872 99744 248321 496642 744963 993284 1489926 1986568 2979852 3973136 5959704 7946272 11919408 23838816