Search a number
-
+
189675648 = 273371773
BaseRepresentation
bin10110100111000…
…11100010000000
3111012220112002000
423103203202000
5342024110043
630453224000
74462134141
oct1323434200
9435815060
10189675648
1198081138
1253632000
13303b0c16
141b295ac8
15119ba2d3
hexb4e3880

189675648 has 128 divisors (see below), whose sum is σ = 568425600. Its totient is φ = 62254080.

The previous prime is 189675589. The next prime is 189675649. The reversal of 189675648 is 846576981.

189675648 is a `hidden beast` number, since 18 + 9 + 67 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 189675594 and 189675603.

It is not an unprimeable number, because it can be changed into a prime (189675649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244990 + ... + 245762.

It is an arithmetic number, because the mean of its divisors is an integer number (4440825).

Almost surely, 2189675648 is an apocalyptic number.

189675648 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 189675648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284212800).

189675648 is an abundant number, since it is smaller than the sum of its proper divisors (378749952).

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

189675648 is an equidigital number, since it uses as much as digits as its factorization.

189675648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 849 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 189675648 is about 13772.2782429052. The cubic root of 189675648 is about 574.5623871331.

The spelling of 189675648 in words is "one hundred eighty-nine million, six hundred seventy-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 96 108 128 142 144 192 213 216 284 288 384 426 432 568 576 639 773 852 864 1136 1152 1278 1546 1704 1728 1917 2272 2319 2556 3092 3408 3456 3834 4544 4638 5112 6184 6816 6957 7668 9088 9276 10224 12368 13632 13914 15336 18552 20448 20871 24736 27264 27828 30672 37104 40896 41742 49472 54883 55656 61344 74208 81792 83484 98944 109766 111312 122688 148416 164649 166968 219532 222624 245376 296832 329298 333936 439064 445248 493947 658596 667872 878128 890496 987894 1317192 1335744 1481841 1756256 1975788 2634384 2671488 2963682 3512512 3951576 5268768 5927364 7025024 7903152 10537536 11854728 15806304 21075072 23709456 31612608 47418912 63225216 94837824 189675648