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3625263 = 33134269
BaseRepresentation
bin1101110101000100101111
320211011221000
431311010233
51412002023
6205411343
742546165
oct15650457
96734830
103625263
112056794
121269b53
1399c135
146a5235
154b9243
hex37512f

3625263 has 8 divisors (see below), whose sum is σ = 5370800. Its totient is φ = 2416824.

The previous prime is 3625243. The next prime is 3625277.

3625263 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3625263 - 210 = 3624239 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 134269 = 3625263 / (3 + 6 + 2 + 5 + 2 + 6 + 3).

It is a d-powerful number, because it can be written as 313 + 66 + 216 + 56 + 218 + 66 + 313 .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3625213) 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 7 ways as a sum of consecutive naturals, for example, 67108 + ... + 67161.

It is an arithmetic number, because the mean of its divisors is an integer number (671350).

Almost surely, 23625263 is an apocalyptic number.

3625263 is a deficient number, since it is larger than the sum of its proper divisors (1745537).

3625263 is a wasteful number, since it uses less digits than its factorization.

3625263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134278 (or 134272 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 3625263 is about 1904.0123423970. The cubic root of 3625263 is about 153.6195562258.

It can be divided in two parts, 36252 and 63, that added together give a triangular number (36315 = T269).

The spelling of 3625263 in words is "three million, six hundred twenty-five thousand, two hundred sixty-three".

Divisors: 1 3 9 27 134269 402807 1208421 3625263