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39093989284 = 22722924872
BaseRepresentation
bin100100011010001011…
…101110111110100100
310201220112020102110001
4210122023232332210
51120031030124114
625543131511044
72552533266100
oct443213567644
9121815212401
1039093989284
11156415a0859
1276b05b8484
1338c046304c
141c6c128900
15103c1be374
hex91a2eefa4

39093989284 has 81 divisors (see below), whose sum is σ = 82592699553. Its totient is φ = 16143605856.

The previous prime is 39093989281. The next prime is 39093989309. The reversal of 39093989284 is 48298939093.

It is a happy number.

The square root of 39093989284 is 197722.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20499939684 + 18594049600 = 143178^2 + 136360^2 .

It is not an unprimeable number, because it can be changed into a prime (39093989281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 80274889 + ... + 80275375.

Almost surely, 239093989284 is an apocalyptic number.

39093989284 is the 197722-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39093989284

39093989284 is an abundant number, since it is smaller than the sum of its proper divisors (43498710269).

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

39093989284 is an equidigital number, since it uses as much as digits as its factorization.

39093989284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 64.

Multiplying 39093989284 by its sum of digits (64), we get a square (2502015314176 = 15817762).

The spelling of 39093989284 in words is "thirty-nine billion, ninety-three million, nine hundred eighty-nine thousand, two hundred eighty-four".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 487 812 841 974 1421 1682 1948 2842 3364 3409 5684 5887 6818 11774 13636 14123 23548 23863 28246 41209 47726 56492 82418 95452 98861 164836 197722 237169 395444 409567 474338 692027 819134 948676 1384054 1638268 1660183 2768108 2866969 3320366 5733938 6640732 6877901 11467876 11621281 13755802 20068783 23242562 27511604 40137566 46485124 48145307 80275132 96290614 192581228 199459129 337017149 398918258 674034298 797836516 1348068596 1396213903 2792427806 5584855612 9773497321 19546994642 39093989284