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2775053480 = 2351761149449
BaseRepresentation
bin1010010101100111…
…1111010010101000
321011101202022201112
42211121333102220
521140403202410
61135211005452
7125524364633
oct24531772250
97141668645
102775053480
1111a4499831
12655439888
13352c044a4
141c47acc1a
1511395d105
hexa567f4a8

2775053480 has 128 divisors (see below), whose sum is σ = 6779700000. Its totient is φ = 1018429440.

The previous prime is 2775053441. The next prime is 2775053483. The reversal of 2775053480 is 843505772.

It can be written as a sum of positive squares in 16 ways, for example, as 81796 + 2774971684 = 286^2 + 52678^2 .

It is a super-2 number, since 2×27750534802 = 15401843633720220800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2775053483) 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, 6180296 + ... + 6180744.

Almost surely, 22775053480 is an apocalyptic number.

2775053480 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 2775053480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3389850000).

2775053480 is an abundant number, since it is smaller than the sum of its proper divisors (4004646520).

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

2775053480 is a wasteful number, since it uses less digits than its factorization.

2775053480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 41.

The square root of 2775053480 is about 52678.7763715142. The cubic root of 2775053480 is about 1405.2614061723.

The spelling of 2775053480 in words is "two billion, seven hundred seventy-five million, fifty-three thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 61 68 85 122 136 149 170 244 298 305 340 449 488 596 610 680 745 898 1037 1192 1220 1490 1796 2074 2245 2440 2533 2980 3592 4148 4490 5066 5185 5960 7633 8296 8980 9089 10132 10370 12665 15266 17960 18178 20264 20740 25330 27389 30532 36356 38165 41480 45445 50660 54778 61064 66901 72712 76330 90890 101320 109556 133802 136945 152660 154513 181780 219112 267604 273890 305320 309026 334505 363560 465613 535208 547780 618052 669010 772565 931226 1095560 1137317 1236104 1338020 1545130 1862452 2274634 2328065 2676040 3090260 3724904 4080961 4549268 4656130 5686585 6180520 8161922 9098536 9312260 11373170 16323844 18624520 20404805 22746340 32647688 40809610 45492680 69376337 81619220 138752674 163238440 277505348 346881685 555010696 693763370 1387526740 2775053480