Search a number
-
+
189084384 = 25324761229
BaseRepresentation
bin10110100010100…
…11001011100000
3111011210111000100
423101103023200
5341401200014
630432422400
74454122266
oct1321231340
9434714010
10189084384
1197807995
12533a7a00
1330234a68
141b180436
1511900009
hexb4532e0

189084384 has 144 divisors (see below), whose sum is σ = 560589120. Its totient is φ = 60410880.

The previous prime is 189084383. The next prime is 189084397. The reversal of 189084384 is 483480981.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189084383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 825582 + ... + 825810.

It is an arithmetic number, because the mean of its divisors is an integer number (3892980).

Almost surely, 2189084384 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 189084384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280294560).

189084384 is an abundant number, since it is smaller than the sum of its proper divisors (371504736).

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

189084384 is a wasteful number, since it uses less digits than its factorization.

189084384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 189084384 is about 13750.7957587916. The cubic root of 189084384 is about 573.9647499467.

The spelling of 189084384 in words is "one hundred eighty-nine million, eighty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 61 72 94 96 122 141 144 183 188 229 244 282 288 366 376 423 458 488 549 564 687 732 752 846 916 976 1098 1128 1374 1464 1504 1692 1832 1952 2061 2196 2256 2748 2867 2928 3384 3664 4122 4392 4512 5496 5734 5856 6768 7328 8244 8601 8784 10763 10992 11468 13536 13969 16488 17202 17568 21526 21984 22936 25803 27938 32289 32976 34404 41907 43052 45872 51606 55876 64578 65952 68808 83814 86104 91744 96867 103212 111752 125721 129156 137616 167628 172208 193734 206424 223504 251442 258312 275232 335256 344416 387468 412848 447008 502884 516624 656543 670512 774936 825696 1005768 1033248 1313086 1341024 1549872 1969629 2011536 2626172 3099744 3939258 4023072 5252344 5908887 7878516 10504688 11817774 15757032 21009376 23635548 31514064 47271096 63028128 94542192 189084384