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4240871796 = 22372311971181
BaseRepresentation
bin1111110011000110…
…1001000101110100
3101221112221121102210
43330301221011310
532141130344141
61540452333420
7210043546500
oct37461510564
911845847383
104240871796
111886952827
129a4314270
135277b92c5
142c3335300
1519c4a4916
hexfcc69174

4240871796 has 144 divisors (see below), whose sum is σ = 11952686592. Its totient is φ = 1165651200.

The previous prime is 4240871779. The next prime is 4240871837. The reversal of 4240871796 is 6971780424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3590326 + ... + 3591506.

It is an arithmetic number, because the mean of its divisors is an integer number (83004768).

Almost surely, 24240871796 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 4240871796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5976343296).

4240871796 is an abundant number, since it is smaller than the sum of its proper divisors (7711814796).

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

4240871796 is a wasteful number, since it uses less digits than its factorization.

4240871796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 4240871796 is about 65121.9762906501. The cubic root of 4240871796 is about 1618.6453894901.

The spelling of 4240871796 in words is "four billion, two hundred forty million, eight hundred seventy-one thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 186 196 197 217 294 372 394 434 588 591 651 788 868 1181 1182 1302 1379 1519 2362 2364 2604 2758 3038 3543 4137 4557 4724 5516 6076 6107 7086 8267 8274 9114 9653 12214 14172 16534 16548 18228 18321 19306 24428 24801 28959 33068 36611 36642 38612 42749 49602 57869 57918 73222 73284 85498 99204 109833 115738 115836 128247 146444 170996 173607 219666 231476 232657 256277 256494 299243 347214 439332 465314 512554 512988 598486 694428 697971 768831 897729 930628 1025108 1196972 1395942 1537662 1628599 1793939 1795458 2791884 3075324 3257198 3587878 3590916 4885797 5381817 6514396 7175756 7212367 9771594 10763634 11400193 14424734 19543188 21527268 21637101 22800386 28849468 34200579 43274202 45600772 50486569 68401158 86548404 100973138 136802316 151459707 201946276 302919414 353405983 605838828 706811966 1060217949 1413623932 2120435898 4240871796