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189472608 = 2534135623
BaseRepresentation
bin10110100101100…
…01111101100000
3111012112012120000
423102301331200
5342001110413
630445020000
74460330163
oct1322617540
9435465500
10189472608
1197a52636
1253554600
133033c690
141b241ada
151197a073
hexb4b1f60

189472608 has 120 divisors (see below), whose sum is σ = 600204528. Its totient is φ = 58288896.

The previous prime is 189472567. The next prime is 189472609. The reversal of 189472608 is 806274981.

189472608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189472609) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30885 + ... + 36507.

Almost surely, 2189472608 is an apocalyptic number.

189472608 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 189472608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300102264).

189472608 is an abundant number, since it is smaller than the sum of its proper divisors (410731920).

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

189472608 is a wasteful number, since it uses less digits than its factorization.

189472608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5658 (or 5641 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 189472608 is about 13764.9049397371. The cubic root of 189472608 is about 574.3572987812.

The spelling of 189472608 in words is "one hundred eighty-nine million, four hundred seventy-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 5616 5623 8424 11232 11246 16848 16869 22492 33696 33738 44984 50607 67476 73099 89968 101214 134952 146198 151821 179936 202428 219297 269904 292396 303642 404856 438594 455463 539808 584792 607284 657891 809712 877188 910926 1169584 1214568 1315782 1619424 1754376 1821852 1973673 2339168 2429136 2631564 3508752 3643704 3947346 4858272 5263128 5921019 7017504 7287408 7894692 10526256 11842038 14574816 15789384 21052512 23684076 31578768 47368152 63157536 94736304 189472608