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3763825 = 521337313
BaseRepresentation
bin1110010110111001110001
321002012222221
432112321301
51430420300
6212401041
743664152
oct16267161
97065887
103763825
1121408aa
121316181
13a1a220
146dd929
154e531a
hex396e71

3763825 has 24 divisors (see below), whose sum is σ = 5178488. Its totient is φ = 2695680.

The previous prime is 3763819. The next prime is 3763829. The reversal of 3763825 is 5283673.

It can be written as a sum of positive squares in 12 ways, for example, as 2143296 + 1620529 = 1464^2 + 1273^2 .

It is not a de Polignac number, because 3763825 - 29 = 3763313 is a prime.

It is a Duffinian number.

3763825 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3763829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11869 + ... + 12181.

Almost surely, 23763825 is an apocalyptic number.

It is an amenable number.

3763825 is a deficient number, since it is larger than the sum of its proper divisors (1414663).

3763825 is a wasteful number, since it uses less digits than its factorization.

3763825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 368 counting only the distinct ones).

The product of its digits is 30240, while the sum is 34.

The square root of 3763825 is about 1940.0579888240. The cubic root of 3763825 is about 155.5523133300.

The spelling of 3763825 in words is "three million, seven hundred sixty-three thousand, eight hundred twenty-five".

Divisors: 1 5 13 25 37 65 185 313 325 481 925 1565 2405 4069 7825 11581 12025 20345 57905 101725 150553 289525 752765 3763825