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23872416 = 2531391789
BaseRepresentation
bin101101100010…
…0001110100000
31122220211210120
41123010032200
522102404131
62211400240
7406624611
oct133041640
948824716
1023872416
1112525777
127bb3080
134c3abb9
143255c08
152168496
hex16c43a0

23872416 has 48 divisors (see below), whose sum is σ = 63151200. Its totient is φ = 7895808.

The previous prime is 23872397. The next prime is 23872421. The reversal of 23872416 is 61427832.

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

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, 12450 + ... + 14238.

It is an arithmetic number, because the mean of its divisors is an integer number (1315650).

Almost surely, 223872416 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 23872416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31575600).

23872416 is an abundant number, since it is smaller than the sum of its proper divisors (39278784).

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

23872416 is a wasteful number, since it uses less digits than its factorization.

23872416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941 (or 1933 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 23872416 is about 4885.9406463853. The cubic root of 23872416 is about 287.9378724012.

The spelling of 23872416 in words is "twenty-three million, eight hundred seventy-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 278 417 556 834 1112 1668 1789 2224 3336 3578 4448 5367 6672 7156 10734 13344 14312 21468 28624 42936 57248 85872 171744 248671 497342 746013 994684 1492026 1989368 2984052 3978736 5968104 7957472 11936208 23872416