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189755568 = 24331014349
BaseRepresentation
bin10110100111101…
…11000010110000
3111020001120201000
423103313002300
5342034134233
630455042000
74462616142
oct1323670260
9436046630
10189755568
1198126192
1253670300
133040b402
141b2b6c92
15119d3d13
hexb4f70b0

189755568 has 80 divisors (see below), whose sum is σ = 550188000. Its totient is φ = 62611200.

The previous prime is 189755563. The next prime is 189755597. The reversal of 189755568 is 865557981.

189755568 is a `hidden beast` number, since 1 + 8 + 9 + 75 + 5 + 568 = 666.

189755568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (189755563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41458 + ... + 45806.

It is an arithmetic number, because the mean of its divisors is an integer number (6877350).

Almost surely, 2189755568 is an apocalyptic number.

189755568 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 189755568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275094000).

189755568 is an abundant number, since it is smaller than the sum of its proper divisors (360432432).

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

189755568 is a wasteful number, since it uses less digits than its factorization.

189755568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4467 (or 4455 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 54.

The square root of 189755568 is about 13775.1794180693. The cubic root of 189755568 is about 574.6430732564.

The spelling of 189755568 in words is "one hundred eighty-nine million, seven hundred fifty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 101 108 144 202 216 303 404 432 606 808 909 1212 1616 1818 2424 2727 3636 4349 4848 5454 7272 8698 10908 13047 14544 17396 21816 26094 34792 39141 43632 52188 69584 78282 104376 117423 156564 208752 234846 313128 439249 469692 626256 878498 939384 1317747 1756996 1878768 2635494 3513992 3953241 5270988 7027984 7906482 10541976 11859723 15812964 21083952 23719446 31625928 47438892 63251856 94877784 189755568