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189488288 = 25114311249
BaseRepresentation
bin10110100101101…
…01110010100000
3111012120000001202
423102311302200
5342002111123
630445220332
74460423663
oct1322656240
9435500052
10189488288
1197a633a0
12535616a8
1330346862
141b2476da
151197ea28
hexb4b5ca0

189488288 has 48 divisors (see below), whose sum is σ = 408240000. Its totient is φ = 85862400.

The previous prime is 189488281. The next prime is 189488293. The reversal of 189488288 is 882884981.

It is a super-2 number, since 2×1894882882 = 71811622578341888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (189488281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151088 + ... + 152336.

It is an arithmetic number, because the mean of its divisors is an integer number (8505000).

Almost surely, 2189488288 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 189488288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204120000).

189488288 is an abundant number, since it is smaller than the sum of its proper divisors (218751712).

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

189488288 is a wasteful number, since it uses less digits than its factorization.

189488288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1693 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 56.

The square root of 189488288 is about 13765.4744923668. The cubic root of 189488288 is about 574.3731421866.

The spelling of 189488288 in words is "one hundred eighty-nine million, four hundred eighty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 431 862 1249 1724 2498 3448 4741 4996 6896 9482 9992 13739 13792 18964 19984 27478 37928 39968 54956 75856 109912 151712 219824 439648 538319 1076638 2153276 4306552 5921509 8613104 11843018 17226208 23686036 47372072 94744144 189488288