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2475136 = 2761317
BaseRepresentation
bin1001011100010010000000
311122202020201
421130102000
51113201021
6125014544
730016066
oct11342200
94582221
102475136
111440674
129b4454
136887a1
14486036
1533d591
hex25c480

2475136 has 32 divisors (see below), whose sum is σ = 5027580. Its totient is φ = 1213440.

The previous prime is 2475113. The next prime is 2475139. The reversal of 2475136 is 6315742.

It can be written as a sum of positive squares in 2 ways, for example, as 1742400 + 732736 = 1320^2 + 856^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×24751362 = 12252596436992, which contains 22 as substring.

It is an Ulam number.

It is a d-powerful number, because it can be written as 219 + 49 + 74 + 53 + 1 + 38 + 68 .

It is not an unprimeable number, because it can be changed into a prime (2475139) 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 3 ways as a sum of consecutive naturals, for example, 7650 + ... + 7966.

22475136 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 2475136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513790).

2475136 is an abundant number, since it is smaller than the sum of its proper divisors (2552444).

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

2475136 is an equidigital number, since it uses as much as digits as its factorization.

2475136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 380 counting only the distinct ones).

The product of its digits is 5040, while the sum is 28.

The square root of 2475136 is about 1573.2564952988. The cubic root of 2475136 is about 135.2694390215.

Subtracting 2475136 from its reverse (6315742), we obtain a triangular number (3840606 = T2771).

The spelling of 2475136 in words is "two million, four hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 317 488 634 976 1268 1952 2536 3904 5072 7808 10144 19337 20288 38674 40576 77348 154696 309392 618784 1237568 2475136