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2525112 = 2332172063
BaseRepresentation
bin1001101000011110111000
311202021210200
421220132320
51121300422
6130042200
730314562
oct11503670
94667720
102525112
111475177
12a19360
136a5465
1449a332
1534d2ac
hex2687b8

2525112 has 48 divisors (see below), whose sum is σ = 7244640. Its totient is φ = 791808.

The previous prime is 2525099. The next prime is 2525113. The reversal of 2525112 is 2115252.

2525112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×25251122 = 12752381225088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2525113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193 + ... + 2255.

It is an arithmetic number, because the mean of its divisors is an integer number (150930).

22525112 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 2525112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622320).

2525112 is an abundant number, since it is smaller than the sum of its proper divisors (4719528).

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

2525112 is a wasteful number, since it uses less digits than its factorization.

2525112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2085 counting only the distinct ones).

The product of its digits is 200, while the sum is 18.

The square root of 2525112 is about 1589.0600995557. The cubic root of 2525112 is about 136.1737974137.

The spelling of 2525112 in words is "two million, five hundred twenty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 2063 4126 6189 8252 12378 16504 18567 24756 35071 37134 49512 70142 74268 105213 140284 148536 210426 280568 315639 420852 631278 841704 1262556 2525112