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2505052 = 2211172197
BaseRepresentation
bin1001100011100101011100
311201021021201
421203211130
51120130202
6125405244
730202234
oct11434534
94637251
102505052
1114610a0
12a09824
136992a4
14492cc4
15347387
hex26395c

2505052 has 36 divisors (see below), whose sum is σ = 5106024. Its totient is φ = 1066240.

The previous prime is 2505043. The next prime is 2505067.

2505052 is nontrivially palindromic in base 10.

2505052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

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, 12618 + ... + 12814.

It is an arithmetic number, because the mean of its divisors is an integer number (141834).

22505052 is an apocalyptic number.

2505052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2505052 is an abundant number, since it is smaller than the sum of its proper divisors (2600972).

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

2505052 is a wasteful number, since it uses less digits than its factorization.

2505052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 19.

The square root of 2505052 is about 1582.7356064738. The cubic root of 2505052 is about 135.8122409025.

The spelling of 2505052 in words is "two million, five hundred five thousand, fifty-two".

Divisors: 1 2 4 11 17 22 34 44 68 187 197 289 374 394 578 748 788 1156 2167 3179 3349 4334 6358 6698 8668 12716 13396 36839 56933 73678 113866 147356 227732 626263 1252526 2505052