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189841312 = 25171918367
BaseRepresentation
bin10110101000010…
…11111110100000
3111020012221022201
423110023332200
5342044410222
630500542544
74463424133
oct1324137640
9436187281
10189841312
1198184651
12536b1a54
133043b44b
141b2da21a
15119ee427
hexb50bfa0

189841312 has 48 divisors (see below), whose sum is σ = 416586240. Its totient is φ = 84630528.

The previous prime is 189841247. The next prime is 189841321. The reversal of 189841312 is 213148981.

189841312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1153 + ... + 19519.

It is an arithmetic number, because the mean of its divisors is an integer number (8678880).

Almost surely, 2189841312 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 189841312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208293120).

189841312 is an abundant number, since it is smaller than the sum of its proper divisors (226744928).

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

189841312 is a wasteful number, since it uses less digits than its factorization.

189841312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18413 (or 18405 counting only the distinct ones).

The product of its digits is 13824, while the sum is 37.

The square root of 189841312 is about 13778.2913309307. The cubic root of 189841312 is about 574.7296140214.

The spelling of 189841312 in words is "one hundred eighty-nine million, eight hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 304 323 544 608 646 1292 2584 5168 10336 18367 36734 73468 146936 293872 312239 348973 587744 624478 697946 1248956 1395892 2497912 2791784 4995824 5583568 5932541 9991648 11167136 11865082 23730164 47460328 94920656 189841312