Search a number
-
+
189307552 = 2574192017
BaseRepresentation
bin10110100100010…
…01101010100000
3111012012211010211
423102021222200
5341430320202
630441303504
74456042030
oct1322115240
9435184124
10189307552
119794a625
1253494b94
13302b2505
141b1db8c0
15119461d7
hexb489aa0

189307552 has 48 divisors (see below), whose sum is σ = 427170240. Its totient is φ = 80898048.

The previous prime is 189307519. The next prime is 189307553. The reversal of 189307552 is 255703981.

It is not an unprimeable number, because it can be changed into a prime (189307553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92848 + ... + 94864.

It is an arithmetic number, because the mean of its divisors is an integer number (8899380).

Almost surely, 2189307552 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 189307552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213585120).

189307552 is an abundant number, since it is smaller than the sum of its proper divisors (237862688).

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

189307552 is a wasteful number, since it uses less digits than its factorization.

189307552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The square root of 189307552 is about 13758.9080962117. The cubic root of 189307552 is about 574.1904696358.

The spelling of 189307552 in words is "one hundred eighty-nine million, three hundred seven thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 419 838 1676 2017 2933 3352 4034 5866 6704 8068 11732 13408 14119 16136 23464 28238 32272 46928 56476 64544 93856 112952 225904 451808 845123 1690246 3380492 5915861 6760984 11831722 13521968 23663444 27043936 47326888 94653776 189307552