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2481324032 = 217111721
BaseRepresentation
bin1001001111100110…
…0000000000000000
320101221001022200002
42103321200000000
520040204332112
61050115215132
7115326622565
oct22371400000
96357038602
102481324032
111063708520
12592ba74a8
133070c0895
1419778c86c
15e7c8c1c2
hex93e60000

2481324032 has 72 divisors (see below), whose sum is σ = 5416922952. Its totient is φ = 1127219200.

The previous prime is 2481324031. The next prime is 2481324077. The reversal of 2481324032 is 2304231842.

It is a junction number, because it is equal to n+sod(n) for n = 2481323986 and 2481324004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2481324031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1440932 + ... + 1442652.

It is an arithmetic number, because the mean of its divisors is an integer number (75235041).

Almost surely, 22481324032 is an apocalyptic number.

2481324032 is a gapful number since it is divisible by the number (22) 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 2481324032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708461476).

2481324032 is an abundant number, since it is smaller than the sum of its proper divisors (2935598920).

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

2481324032 is an frugal number, since it uses more digits than its factorization.

2481324032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 2481324032 is about 49812.8902192997. The cubic root of 2481324032 is about 1353.8207323898.

Adding to 2481324032 its reverse (2304231842), we get a palindrome (4785555874).

The spelling of 2481324032 in words is "two billion, four hundred eighty-one million, three hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 1721 2048 2816 3442 4096 5632 6884 8192 11264 13768 16384 18931 22528 27536 32768 37862 45056 55072 65536 75724 90112 110144 131072 151448 180224 220288 302896 360448 440576 605792 720896 881152 1211584 1441792 1762304 2423168 3524608 4846336 7049216 9692672 14098432 19385344 28196864 38770688 56393728 77541376 112787456 155082752 225574912 310165504 620331008 1240662016 2481324032