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189824652 = 2232173783101
BaseRepresentation
bin10110101000001…
…11111010001100
3111020012002110200
423110013322030
5342043342102
630500333500
74463324433
oct1324077214
9436162420
10189824652
1198173086
12536a4290
13304339a4
141b2d411a
15119e951c
hexb507e8c

189824652 has 144 divisors (see below), whose sum is σ = 533306592. Its totient is φ = 56678400.

The previous prime is 189824651. The next prime is 189824683. The reversal of 189824652 is 256428981.

189824652 is a `hidden beast` number, since 189 + 8 + 2 + 465 + 2 = 666.

189824652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1898246522 = 72066797013842208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 189824598 and 189824607.

It is not an unprimeable number, because it can be changed into a prime (189824651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1879402 + ... + 1879502.

It is an arithmetic number, because the mean of its divisors is an integer number (3703518).

Almost surely, 2189824652 is an apocalyptic number.

189824652 is a gapful number since it is divisible by the number (12) 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 189824652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266653296).

189824652 is an abundant number, since it is smaller than the sum of its proper divisors (343481940).

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

189824652 is a wasteful number, since it uses less digits than its factorization.

189824652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 243 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 189824652 is about 13777.6867434269. The cubic root of 189824652 is about 574.7128012505.

The spelling of 189824652 in words is "one hundred eighty-nine million, eight hundred twenty-four thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 51 68 74 83 101 102 111 148 153 166 202 204 222 249 303 306 332 333 404 444 498 606 612 629 666 747 909 996 1212 1258 1332 1411 1494 1717 1818 1887 2516 2822 2988 3071 3434 3636 3737 3774 4233 5151 5644 5661 6142 6868 7474 7548 8383 8466 9213 10302 11211 11322 12284 12699 14948 15453 16766 16932 18426 20604 22422 22644 25149 25398 27639 30906 33532 33633 36852 44844 50298 50796 52207 55278 61812 63529 67266 75447 100596 104414 110556 127058 134532 142511 150894 156621 190587 208828 254116 285022 301788 310171 313242 381174 427533 469863 570044 571761 620342 626484 762348 855066 930513 939726 1143522 1240684 1282599 1710132 1861026 1879452 2287044 2565198 2791539 3722052 5130396 5272907 5583078 10545814 11166156 15818721 21091628 31637442 47456163 63274884 94912326 189824652