Search a number
-
+
2755069248 = 26337937861
BaseRepresentation
bin1010010000110111…
…0000010101000000
321010000011000111210
42210031300111000
521120244203443
61133214410120
7125162462601
oct24415602500
97100130453
102755069248
11119418a338
1264a800940
1334ba282b9
141c1c89da8
15111d11c33
hexa4370540

2755069248 has 56 divisors (see below), whose sum is σ = 7308880480. Its totient is φ = 915909120.

The previous prime is 2755069199. The next prime is 2755069271. The reversal of 2755069248 is 8429605572.

It is a super-2 number, since 2×27550692482 = 15180813122550571008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2755069197 and 2755069206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53838 + ... + 91698.

Almost surely, 22755069248 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 2755069248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3654440240).

2755069248 is an abundant number, since it is smaller than the sum of its proper divisors (4553811232).

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

2755069248 is a wasteful number, since it uses less digits than its factorization.

2755069248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38255 (or 38245 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The square root of 2755069248 is about 52488.7535382581. The cubic root of 2755069248 is about 1401.8799994700.

The spelling of 2755069248 in words is "two billion, seven hundred fifty-five million, sixty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 379 758 1137 1516 2274 3032 4548 6064 9096 12128 18192 24256 36384 37861 72768 75722 113583 151444 227166 302888 454332 605776 908664 1211552 1817328 2423104 3634656 7269312 14349319 28698638 43047957 57397276 86095914 114794552 172191828 229589104 344383656 459178208 688767312 918356416 1377534624 2755069248