Search a number
-
+
30251816 = 2372229337
BaseRepresentation
bin111001101100…
…1101100101000
32002220221200122
41303121230220
530221024231
63000222412
7515064500
oct163315450
962827618
1030251816
1116092701
12a16aa08
1363627aa
144036a00
1529c877b
hex1cd9b28

30251816 has 48 divisors (see below), whose sum is σ = 66467700. Its totient is φ = 12870144.

The previous prime is 30251813. The next prime is 30251827. The reversal of 30251816 is 61815203.

It can be written as a sum of positive squares in 2 ways, for example, as 29658916 + 592900 = 5446^2 + 770^2 .

It is not an unprimeable number, because it can be changed into a prime (30251813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89600 + ... + 89936.

Almost surely, 230251816 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 30251816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33233850).

30251816 is an abundant number, since it is smaller than the sum of its proper divisors (36215884).

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

30251816 is a wasteful number, since it uses less digits than its factorization.

30251816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 30251816 is about 5500.1650884314. The cubic root of 30251816 is about 311.5902192068.

The spelling of 30251816 in words is "thirty million, two hundred fifty-one thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 229 337 392 458 674 916 1348 1603 1832 2359 2696 3206 4718 6412 9436 11221 12824 16513 18872 22442 33026 44884 66052 77173 89768 132104 154346 308692 540211 617384 1080422 2160844 3781477 4321688 7562954 15125908 30251816