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2513088 = 26324363
BaseRepresentation
bin1001100101100011000000
311201200022100
421211203000
51120404323
6125510400
730234534
oct11454300
94650270
102513088
111467136
12a12400
1369cb46
14495bc4
15349943
hex2658c0

2513088 has 42 divisors (see below), whose sum is σ = 7204964. Its totient is φ = 837504.

The previous prime is 2513087. The next prime is 2513089. The reversal of 2513088 is 8803152.

It is a happy number.

2513088 is nontrivially palindromic in base 15.

2513088 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2513087) and next prime (2513089).

It is a super-2 number, since 2×25130882 = 12631222591488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2513083) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1606 + ... + 2757.

22513088 is an apocalyptic number.

It is an amenable number.

2513088 is an abundant number, since it is smaller than the sum of its proper divisors (4691876).

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

2513088 is a wasteful number, since it uses less digits than its factorization.

2513088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4381 (or 4368 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2513088 is about 1585.2722163717. The cubic root of 2513088 is about 135.9573107077.

Subtracting 2513088 from its reverse (8803152), we obtain a square (6290064 = 25082).

The spelling of 2513088 in words is "two million, five hundred thirteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 4363 8726 13089 17452 26178 34904 39267 52356 69808 78534 104712 139616 157068 209424 279232 314136 418848 628272 837696 1256544 2513088