Search a number
-
+
4276418640 = 2435136532099
BaseRepresentation
bin1111111011100100…
…1111100001010000
3102001000211120112120
43332321033201100
532224230344030
61544202254240
7210654646554
oct37671174120
912030746476
104276418640
1118a4a2168a
129b41b7380
13531c83c40
142c7d49864
151a0677010
hexfee4f850

4276418640 has 160 divisors (see below), whose sum is σ = 14305334400. Its totient is φ = 1050544128.

The previous prime is 4276418633. The next prime is 4276418687. The reversal of 4276418640 is 468146724.

It is a junction number, because it is equal to n+sod(n) for n = 4276418592 and 4276418601.

It is a congruent number.

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, 2036311 + ... + 2038409.

It is an arithmetic number, because the mean of its divisors is an integer number (89408340).

Almost surely, 24276418640 is an apocalyptic number.

4276418640 is a gapful number since it is divisible by the number (40) 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 4276418640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7152667200).

4276418640 is an abundant number, since it is smaller than the sum of its proper divisors (10028915760).

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

4276418640 is a wasteful number, since it uses less digits than its factorization.

4276418640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2781 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 4276418640 is about 65394.3318644667. The cubic root of 4276418640 is about 1623.1552892286.

The spelling of 4276418640 in words is "four billion, two hundred seventy-six million, four hundred eighteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 653 780 1040 1306 1560 1959 2099 2612 3120 3265 3918 4198 5224 6297 6530 7836 8396 8489 9795 10448 10495 12594 13060 15672 16792 16978 19590 20990 25188 25467 26120 27287 31344 31485 33584 33956 39180 41980 42445 50376 50934 52240 54574 62970 67912 78360 81861 83960 84890 100752 101868 109148 125940 127335 135824 136435 156720 163722 167920 169780 203736 218296 251880 254670 272870 327444 339560 407472 409305 436592 503760 509340 545740 654888 679120 818610 1018680 1091480 1309776 1370647 1637220 2037360 2182960 2741294 3274440 4111941 5482588 6548880 6853235 8223882 10965176 13706470 16447764 17818411 20559705 21930352 27412940 32895528 35636822 41119410 53455233 54825880 65791056 71273644 82238820 89092055 106910466 109651760 142547288 164477640 178184110 213820932 267276165 285094576 328955280 356368220 427641864 534552330 712736440 855283728 1069104660 1425472880 2138209320 4276418640