Search a number
-
+
4279095040 = 28511793847
BaseRepresentation
bin1111111100001101…
…1100111100000000
3102001012212112212111
43333003130330000
532230422020130
61544335505104
7211016464513
oct37703347400
912035775774
104279095040
1118a648a490
129b5088194
135326b01cc
142c8444d7a
151a0a0502a
hexff0dcf00

4279095040 has 144 divisors (see below), whose sum is σ = 11326049280. Its totient is φ = 1535938560.

The previous prime is 4279095017. The next prime is 4279095043. The reversal of 4279095040 is 405909724.

It is a super-2 number, since 2×42790950402 = 36621308722705203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4279094984 and 4279095002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4279095043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1110397 + ... + 1114243.

It is an arithmetic number, because the mean of its divisors is an integer number (78653120).

Almost surely, 24279095040 is an apocalyptic number.

4279095040 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 4279095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5663024640).

4279095040 is an abundant number, since it is smaller than the sum of its proper divisors (7046954240).

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

4279095040 is a wasteful number, since it uses less digits than its factorization.

4279095040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958 (or 3944 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 4279095040 is about 65414.7922109365. The cubic root of 4279095040 is about 1623.4938362872.

The spelling of 4279095040 in words is "four billion, two hundred seventy-nine million, ninety-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 79 80 88 110 128 158 160 176 220 256 316 320 352 395 440 632 640 704 790 869 880 1264 1280 1408 1580 1738 1760 2528 2816 3160 3476 3520 3847 4345 5056 6320 6952 7040 7694 8690 10112 12640 13904 14080 15388 17380 19235 20224 25280 27808 30776 34760 38470 42317 50560 55616 61552 69520 76940 84634 101120 111232 123104 139040 153880 169268 211585 222464 246208 278080 303913 307760 338536 423170 492416 556160 607826 615520 677072 846340 984832 1112320 1215652 1231040 1354144 1519565 1692680 2431304 2462080 2708288 3039130 3343043 3385360 4862608 4924160 5416576 6078260 6686086 6770720 9725216 10833152 12156520 13372172 13541440 16715215 19450432 24313040 26744344 27082880 33430430 38900864 48626080 53488688 54165760 66860860 77801728 97252160 106977376 133721720 194504320 213954752 267443440 389008640 427909504 534886880 855819008 1069773760 2139547520 4279095040