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2512522540 = 2251118163097
BaseRepresentation
bin1001010111000010…
…0000110100101100
320111002202100222101
42111300200310230
520121201210130
61053152024444
7116156042413
oct22560406454
96432670871
102512522540
11107a287410
125a1532124
133106c5238
1419b99047a
15ea8a11ca
hex95c20d2c

2512522540 has 48 divisors (see below), whose sum is σ = 5787853344. Its totient is φ = 908582400.

The previous prime is 2512522499. The next prime is 2512522543. The reversal of 2512522540 is 452252152.

It is a junction number, because it is equal to n+sod(n) for n = 2512522499 and 2512522508.

It is not an unprimeable number, because it can be changed into a prime (2512522543) 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 15 ways as a sum of consecutive naturals, for example, 8272 + ... + 71368.

It is an arithmetic number, because the mean of its divisors is an integer number (120580278).

Almost surely, 22512522540 is an apocalyptic number.

2512522540 is a gapful number since it is divisible by the number (20) 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 2512522540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2893926672).

2512522540 is an abundant number, since it is smaller than the sum of its proper divisors (3275330804).

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

2512522540 is a wasteful number, since it uses less digits than its factorization.

2512522540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63298 (or 63296 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

The square root of 2512522540 is about 50125.0689775086. The cubic root of 2512522540 is about 1359.4711287039.

Adding to 2512522540 its reverse (452252152), we get a palindrome (2964774692).

The spelling of 2512522540 in words is "two billion, five hundred twelve million, five hundred twenty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 181 220 362 724 905 1810 1991 3620 3982 7964 9955 19910 39820 63097 126194 252388 315485 630970 694067 1261940 1388134 2776268 3470335 6940670 11420557 13881340 22841114 45682228 57102785 114205570 125626127 228411140 251252254 502504508 628130635 1256261270 2512522540