Search a number
-
+
4250778048 = 2633111511481
BaseRepresentation
bin1111110101011101…
…1011100111000000
3101222020120220021000
43331113123213000
532201144344143
61541444532000
7210224005626
oct37527334700
911866526230
104250778048
1118914a9510
129a76b1000
135298772aa
142c4793516
1519d2aebd3
hexfd5db9c0

4250778048 has 224 divisors, whose sum is σ = 13732093440. Its totient is φ = 1278720000.

The previous prime is 4250778017. The next prime is 4250778071. The reversal of 4250778048 is 8408770524.

It is a super-2 number, since 2×42507780482 = 36138228026717380608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4250777994 and 4250778012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2869468 + ... + 2870948.

Almost surely, 24250778048 is an apocalyptic number.

4250778048 is a gapful number since it is divisible by the number (48) 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 4250778048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6866046720).

4250778048 is an abundant number, since it is smaller than the sum of its proper divisors (9481315392).

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

4250778048 is a wasteful number, since it uses less digits than its factorization.

4250778048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 4250778048 is about 65197.9911346968. The cubic root of 4250778048 is about 1619.9047406264.

The spelling of 4250778048 in words is "four billion, two hundred fifty million, seven hundred seventy-eight thousand, forty-eight".