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189513648 = 24331932273
BaseRepresentation
bin10110100101110…
…11111110110000
3111012121021212000
423102323332300
5342003414043
630445534000
74460560632
oct1322737660
9435537760
10189513648
1197a80455
1253574300
133035526c
141b252a52
15119872d3
hexb4bbfb0

189513648 has 80 divisors (see below), whose sum is σ = 547033440. Its totient is φ = 62816256.

The previous prime is 189513617. The next prime is 189513661. The reversal of 189513648 is 846315981.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82240 + ... + 84512.

It is an arithmetic number, because the mean of its divisors is an integer number (6837918).

Almost surely, 2189513648 is an apocalyptic number.

189513648 is a gapful number since it is divisible by the number (18) 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 189513648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273516720).

189513648 is an abundant number, since it is smaller than the sum of its proper divisors (357519792).

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

189513648 is a wasteful number, since it uses less digits than its factorization.

189513648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2471 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 189513648 is about 13766.3956066939. The cubic root of 189513648 is about 574.3987646200.

The spelling of 189513648 in words is "one hundred eighty-nine million, five hundred thirteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 193 216 386 432 579 772 1158 1544 1737 2273 2316 3088 3474 4546 4632 5211 6819 6948 9092 9264 10422 13638 13896 18184 20457 20844 27276 27792 36368 40914 41688 54552 61371 81828 83376 109104 122742 163656 245484 327312 438689 490968 877378 981936 1316067 1754756 2632134 3509512 3948201 5264268 7019024 7896402 10528536 11844603 15792804 21057072 23689206 31585608 47378412 63171216 94756824 189513648