Search a number
-
+
19888288 = 257194673
BaseRepresentation
bin100101111011…
…1100010100000
31101102102121021
41023313202200
520042411123
61550135224
7331022230
oct113674240
941372537
1019888288
1110254402
1267b1514
134174624
1428d9cc0
151b2cc5d
hex12f78a0

19888288 has 48 divisors (see below), whose sum is σ = 47113920. Its totient is φ = 8073216.

The previous prime is 19888279. The next prime is 19888291. The reversal of 19888288 is 88288891.

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, 1920 + ... + 6592.

It is an arithmetic number, because the mean of its divisors is an integer number (981540).

Almost surely, 219888288 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 19888288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23556960).

19888288 is an abundant number, since it is smaller than the sum of its proper divisors (27225632).

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

19888288 is a wasteful number, since it uses less digits than its factorization.

19888288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4709 (or 4701 counting only the distinct ones).

The product of its digits is 589824, while the sum is 52.

The square root of 19888288 is about 4459.6286840947. The cubic root of 19888288 is about 270.9354293949.

The spelling of 19888288 in words is "nineteen million, eight hundred eighty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 4673 9346 18692 32711 37384 65422 74768 88787 130844 149536 177574 261688 355148 523376 621509 710296 1046752 1243018 1420592 2486036 2841184 4972072 9944144 19888288