Search a number
-
+
3052123776 = 273213261257
BaseRepresentation
bin1011010111101011…
…1011011010000000
321212201002221201100
42311322323122000
522222320430101
61222505334400
7135430424022
oct26572733200
97781087640
103052123776
111326931849
12712197400
13398434500
1420d4d4012
1512ce3ce86
hexb5ebb680

3052123776 has 288 divisors, whose sum is σ = 9703893420. Its totient is φ = 920125440.

The previous prime is 3052123757. The next prime is 3052123783. The reversal of 3052123776 is 6773212503.

3052123776 is a `hidden beast` number, since 30 + 521 + 2 + 37 + 76 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 514382400 + 2537741376 = 22680^2 + 50376^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3052123776.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 11875840 + ... + 11876096.

Almost surely, 23052123776 is an apocalyptic number.

3052123776 is a gapful number since it is divisible by the number (36) 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 3052123776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4851946710).

3052123776 is an abundant number, since it is smaller than the sum of its proper divisors (6651769644).

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

3052123776 is a wasteful number, since it uses less digits than its factorization.

3052123776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 3052123776 is about 55246.0295043906. The cubic root of 3052123776 is about 1450.5544888447.

The spelling of 3052123776 in words is "three billion, fifty-two million, one hundred twenty-three thousand, seven hundred seventy-six".