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2755284948 = 22321347229547
BaseRepresentation
bin1010010000111010…
…0100111111010100
321010000112222101200
42210032210333110
521120323104243
61133223152500
7125164351503
oct24416447724
97100488350
102755284948
1111943173a9
1264a8a5730
1334baa2530
141c1d0483a
15111d55ad3
hexa43a4fd4

2755284948 has 144 divisors (see below), whose sum is σ = 7707598080. Its totient is φ = 824608512.

The previous prime is 2755284941. The next prime is 2755284967. The reversal of 2755284948 is 8494825572.

2755284948 is a `hidden beast` number, since 2 + 7 + 552 + 8 + 49 + 48 = 666.

2755284948 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2755284894 and 2755284903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2755284941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5036811 + ... + 5037357.

Almost surely, 22755284948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2755284948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3853799040).

2755284948 is an abundant number, since it is smaller than the sum of its proper divisors (4952313132).

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

2755284948 is a wasteful number, since it uses less digits than its factorization.

2755284948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 841 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The square root of 2755284948 is about 52490.8082239167. The cubic root of 2755284948 is about 1401.9165838650.

The spelling of 2755284948 in words is "two billion, seven hundred fifty-five million, two hundred eighty-four thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 47 52 78 94 117 141 156 188 229 234 282 423 458 468 547 564 611 687 846 916 1094 1222 1374 1641 1692 1833 2061 2188 2444 2748 2977 3282 3666 4122 4923 5499 5954 6564 7111 7332 8244 8931 9846 10763 10998 11908 14222 17862 19692 21333 21526 21996 25709 26793 28444 32289 35724 42666 43052 51418 53586 63999 64578 77127 85332 96867 102836 107172 125263 127998 129156 139919 154254 193734 231381 250526 255996 279838 308508 334217 375789 387468 419757 462762 501052 559676 668434 751578 839514 925524 1002651 1127367 1259271 1336868 1503156 1628419 1679028 2005302 2254734 2518542 3007953 3256838 4010604 4509468 4885257 5037084 5887361 6015906 6513676 9770514 11774722 12031812 14655771 17662083 19541028 23549444 29311542 35324166 52986249 58623084 70648332 76535693 105972498 153071386 211944996 229607079 306142772 459214158 688821237 918428316 1377642474 2755284948