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189305816 = 2373193631
BaseRepresentation
bin10110100100010…
…01001111011000
3111012012201202112
423102021033120
5341430241231
630441251452
74456034000
oct1322111730
9435181675
10189305816
1197949297
1253493b88
13302b179b
141b1db000
151194592b
hexb4893d8

189305816 has 64 divisors (see below), whose sum is σ = 435840000. Its totient is φ = 76839840.

The previous prime is 189305813. The next prime is 189305821. The reversal of 189305816 is 618503981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189305813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50321 + ... + 53951.

It is an arithmetic number, because the mean of its divisors is an integer number (6810000).

Almost surely, 2189305816 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 189305816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217920000).

189305816 is an abundant number, since it is smaller than the sum of its proper divisors (246534184).

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

189305816 is a wasteful number, since it uses less digits than its factorization.

189305816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 41.

The square root of 189305816 is about 13758.8450096656. The cubic root of 189305816 is about 574.1887144713.

The spelling of 189305816 in words is "one hundred eighty-nine million, three hundred five thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 343 392 532 686 931 1064 1372 1862 2744 3631 3724 6517 7262 7448 13034 14524 25417 26068 29048 50834 52136 68989 101668 137978 177919 203336 275956 355838 482923 551912 711676 965846 1245433 1423352 1931692 2490866 3380461 3863384 4981732 6760922 9963464 13521844 23663227 27043688 47326454 94652908 189305816