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2949098240 = 28511434871
BaseRepresentation
bin1010111111000111…
…1010101100000000
321121112020201020202
42233301322230000
522014432120430
61204345224332
7133036631024
oct25761725400
97545221222
102949098240
111283764180
126a37920a8
1337cca185a
141dd956384
15123d8bd45
hexafc7ab00

2949098240 has 144 divisors (see below), whose sum is σ = 7887027456. Its totient is φ = 1047244800.

The previous prime is 2949098227. The next prime is 2949098263. The reversal of 2949098240 is 428909492.

2949098240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 603005 + ... + 607875.

It is an arithmetic number, because the mean of its divisors is an integer number (54771024).

Almost surely, 22949098240 is an apocalyptic number.

2949098240 is a gapful number since it is divisible by the number (20) 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 2949098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3943513728).

2949098240 is an abundant number, since it is smaller than the sum of its proper divisors (4937929216).

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

2949098240 is a wasteful number, since it uses less digits than its factorization.

2949098240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4946 (or 4932 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 47.

The square root of 2949098240 is about 54305.6004478359. The cubic root of 2949098240 is about 1434.0459918581.

The spelling of 2949098240 in words is "two billion, nine hundred forty-nine million, ninety-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 43 44 55 64 80 86 88 110 128 160 172 176 215 220 256 320 344 352 430 440 473 640 688 704 860 880 946 1280 1376 1408 1720 1760 1892 2365 2752 2816 3440 3520 3784 4730 4871 5504 6880 7040 7568 9460 9742 11008 13760 14080 15136 18920 19484 24355 27520 30272 37840 38968 48710 53581 55040 60544 75680 77936 97420 107162 121088 151360 155872 194840 209453 214324 267905 302720 311744 389680 418906 428648 535810 605440 623488 779360 837812 857296 1047265 1071620 1246976 1558720 1675624 1714592 2094530 2143240 2303983 3117440 3351248 3429184 4189060 4286480 4607966 6234880 6702496 6858368 8378120 8572960 9215932 11519915 13404992 13716736 16756240 17145920 18431864 23039830 26809984 33512480 34291840 36863728 46079660 53619968 67024960 68583680 73727456 92159320 134049920 147454912 184318640 268099840 294909824 368637280 589819648 737274560 1474549120 2949098240