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2527076352 = 2133312107
BaseRepresentation
bin1001011010100000…
…0010000000000000
320112010010210001110
42112220002000000
520133412420402
61054432003320
7116423536353
oct22650020000
96463123043
102527076352
111087517959
125a6390540
1331371c768
1419d89c29a
15ebcc856c
hex96a02000

2527076352 has 168 divisors, whose sum is σ = 7027913808. Its totient is φ = 807567360.

The previous prime is 2527076351. The next prime is 2527076359. The reversal of 2527076352 is 2536707252.

It is a super-2 number, since 2×25270763522 = 12772229777675255808, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2527076352.

It is not an unprimeable number, because it can be changed into a prime (2527076351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23617483 + ... + 23617589.

Almost surely, 22527076352 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 2527076352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513956904).

2527076352 is an abundant number, since it is smaller than the sum of its proper divisors (4500837456).

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

2527076352 is an equidigital number, since it uses as much as digits as its factorization.

2527076352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 39.

The square root of 2527076352 is about 50270.0343345815. The cubic root of 2527076352 is about 1362.0909933795.

The spelling of 2527076352 in words is "two billion, five hundred twenty-seven million, seventy-six thousand, three hundred fifty-two".