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989106352 = 241323475383
BaseRepresentation
bin111010111101001…
…001000010110000
32112221011210211121
4322331021002300
54011202400402
6242051552024
733340156663
oct7275110260
92487153747
10989106352
11468363273
122372bb614
13129bc4940
14955136da
155bc7d837
hex3af490b0

989106352 has 160 divisors (see below), whose sum is σ = 2267854848. Its totient is φ = 414256128.

The previous prime is 989106343. The next prime is 989106373. The reversal of 989106352 is 253601989.

It is a happy number.

It is a super-3 number, since 3×9891063523 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 989106299 and 989106308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11916903 + ... + 11916985.

Almost surely, 2989106352 is an apocalyptic number.

989106352 is a gapful number since it is divisible by the number (92) 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 989106352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133927424).

989106352 is an abundant number, since it is smaller than the sum of its proper divisors (1278748496).

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

989106352 is a wasteful number, since it uses less digits than its factorization.

989106352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The square root of 989106352 is about 31450.0612400040. The cubic root of 989106352 is about 996.3555178858.

The spelling of 989106352 in words is "nine hundred eighty-nine million, one hundred six thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 23 26 46 47 52 53 83 92 94 104 106 166 184 188 208 212 299 332 368 376 424 598 611 664 689 752 848 1079 1081 1196 1219 1222 1328 1378 1909 2158 2162 2392 2438 2444 2491 2756 3818 3901 4316 4324 4399 4784 4876 4888 4982 5512 7636 7802 8632 8648 8798 9752 9776 9964 11024 14053 15272 15604 15847 17264 17296 17596 19504 19928 24817 28106 30544 31208 31694 32383 35192 39856 49634 50713 56212 57187 57293 62416 63388 64766 70384 89723 99268 101177 101426 112424 114374 114586 126776 129532 179446 198536 202354 202852 206753 224848 228748 229172 253552 259064 358892 397072 404708 405704 413506 457496 458344 518128 717784 744809 809416 811408 827012 914992 916688 1166399 1315301 1435568 1489618 1618832 1654024 2332798 2630602 2687789 2979236 3308048 4665596 4755319 5261204 5375578 5958472 9331192 9510638 10522408 10751156 11916944 18662384 19021276 21044816 21502312 38042552 43004624 61819147 76085104 123638294 247276588 494553176 989106352