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3001825949 = 172101102841
BaseRepresentation
bin1011001011101100…
…0011101010011101
321202012110120001212
42302323003222131
522121431412244
61213511314205
7134250046103
oct26273035235
97665416055
103001825949
1113004a82a1
126b937b965
1338aba3695
1420695dc73
15128804d9e
hexb2ec3a9d

3001825949 has 12 divisors (see below), whose sum is σ = 3220394388. Its totient is φ = 2797248000.

The previous prime is 3001825943. The next prime is 3001825951. The reversal of 3001825949 is 9495281003.

It can be written as a sum of positive squares in 6 ways, for example, as 1887468025 + 1114357924 = 43445^2 + 33382^2 .

It is a de Polignac number, because none of the positive numbers 2k-3001825949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001825943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22232 + ... + 80609.

It is an arithmetic number, because the mean of its divisors is an integer number (268366199).

Almost surely, 23001825949 is an apocalyptic number.

It is an amenable number.

3001825949 is a deficient number, since it is larger than the sum of its proper divisors (218568439).

3001825949 is a wasteful number, since it uses less digits than its factorization.

3001825949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102976 (or 102959 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 3001825949 is about 54788.9217725627. The cubic root of 3001825949 is about 1442.5421192022.

The spelling of 3001825949 in words is "three billion, one million, eight hundred twenty-five thousand, nine hundred forty-nine".

Divisors: 1 17 101 289 1717 29189 102841 1748297 10386941 29721049 176577997 3001825949