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2949079224 = 2337131971069
BaseRepresentation
bin1010111111000111…
…0110000010111000
321121112012202011110
42233301312002320
522014431013344
61204345000320
7133036521420
oct25761660270
97545182143
102949079224
111283750963
126a37830a0
1337cc95cc0
141dd94d480
15123d863b9
hexafc760b8

2949079224 has 128 divisors (see below), whose sum is σ = 9551808000. Its totient is φ = 736833024.

The previous prime is 2949079171. The next prime is 2949079229. The reversal of 2949079224 is 4229709492.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2949079229) 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 31 ways as a sum of consecutive naturals, for example, 5962 + ... + 77030.

It is an arithmetic number, because the mean of its divisors is an integer number (74623500).

Almost surely, 22949079224 is an apocalyptic number.

2949079224 is a gapful number since it is divisible by the number (24) 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 2949079224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4775904000).

2949079224 is an abundant number, since it is smaller than the sum of its proper divisors (6602728776).

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

2949079224 is a wasteful number, since it uses less digits than its factorization.

2949079224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71117 (or 71113 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 2949079224 is about 54305.4253643225. The cubic root of 2949079224 is about 1434.0429095739.

The spelling of 2949079224 in words is "two billion, nine hundred forty-nine million, seventy-nine thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 19 21 24 26 28 38 39 42 52 56 57 76 78 84 91 104 114 133 152 156 168 182 228 247 266 273 312 364 399 456 494 532 546 728 741 798 988 1064 1092 1482 1596 1729 1976 2184 2964 3192 3458 5187 5928 6916 10374 13832 20748 41496 71069 142138 213207 284276 426414 497483 568552 852828 923897 994966 1350311 1492449 1705656 1847794 1989932 2700622 2771691 2984898 3695588 3979864 4050933 5401244 5543382 5969796 6467279 7391176 8101866 9452177 10802488 11086764 11939592 12934558 16203732 17554043 18904354 19401837 22173528 25869116 28356531 32407464 35108086 37808708 38803674 51738232 52662129 56713062 70216172 75617416 77607348 105324258 113426124 122878301 140432344 155214696 210648516 226852248 245756602 368634903 421297032 491513204 737269806 983026408 1474539612 2949079224