Search a number
-
+
4203985248 = 2532109133919
BaseRepresentation
bin1111101010010011…
…1011100101100000
3101211222112120121100
43322210323211200
532102210011443
61533053554400
7206115166521
oct37244734540
911758476540
104203985248
111868049381
12993aa5a00
1351cc72948
142bc492848
1519911a3d3
hexfa93b960

4203985248 has 72 divisors (see below), whose sum is σ = 12064852800. Its totient is φ = 1388461824.

The previous prime is 4203985243. The next prime is 4203985259. The reversal of 4203985248 is 8425893024.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4203985243) 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 11 ways as a sum of consecutive naturals, for example, 35568 + ... + 98351.

It is an arithmetic number, because the mean of its divisors is an integer number (167567400).

Almost surely, 24203985248 is an apocalyptic number.

4203985248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4203985248 is an abundant number, since it is smaller than the sum of its proper divisors (7860867552).

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

4203985248 is a wasteful number, since it uses less digits than its factorization.

4203985248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134044 (or 134033 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4203985248 is about 64838.1465496971. The cubic root of 4203985248 is about 1613.9387952818.

The spelling of 4203985248 in words is "four billion, two hundred three million, nine hundred eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 109 144 218 288 327 436 654 872 981 1308 1744 1962 2616 3488 3924 5232 7848 10464 15696 31392 133919 267838 401757 535676 803514 1071352 1205271 1607028 2142704 2410542 3214056 4285408 4821084 6428112 9642168 12856224 14597171 19284336 29194342 38568672 43791513 58388684 87583026 116777368 131374539 175166052 233554736 262749078 350332104 467109472 525498156 700664208 1050996312 1401328416 2101992624 4203985248