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989205672 = 233713234841
BaseRepresentation
bin111010111101100…
…001010010101000
32112221100212002010
4322331201102220
54011214040142
6242054035520
733341052360
oct7275412250
92487325063
10989205672
11468420954
12237348ba0
13129c2ac00
149553b9a0
155bc9ce9c
hex3af614a8

989205672 has 96 divisors (see below), whose sum is σ = 3060521280. Its totient is φ = 260881920.

The previous prime is 989205671. The next prime is 989205677. The reversal of 989205672 is 276502989.

989205672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (989205671) 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, 10972 + ... + 45812.

It is an arithmetic number, because the mean of its divisors is an integer number (31880430).

Almost surely, 2989205672 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 989205672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530260640).

989205672 is an abundant number, since it is smaller than the sum of its proper divisors (2071315608).

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

989205672 is a wasteful number, since it uses less digits than its factorization.

989205672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34883 (or 34866 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 989205672 is about 31451.6402116010. The cubic root of 989205672 is about 996.3888660752.

The spelling of 989205672 in words is "nine hundred eighty-nine million, two hundred five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 169 182 273 312 338 364 507 546 676 728 1014 1092 1183 1352 2028 2184 2366 3549 4056 4732 7098 9464 14196 28392 34841 69682 104523 139364 209046 243887 278728 418092 452933 487774 731661 836184 905866 975548 1358799 1463322 1811732 1951096 2717598 2926644 3170531 3623464 5435196 5853288 5888129 6341062 9511593 10870392 11776258 12682124 17664387 19023186 23552516 25364248 35328774 38046372 41216903 47105032 70657548 76092744 82433806 123650709 141315096 164867612 247301418 329735224 494602836 989205672