Search a number
-
+
3649893 = 313223313
BaseRepresentation
bin1101111011000101100101
320212102201020
431323011211
51413244033
6210121353
743011042
oct15730545
96772636
103649893
112073245
121280259
139aa400
146b01c9
154c16b3
hex37b165

3649893 has 24 divisors (see below), whose sum is σ = 5516352. Its totient is φ = 2141568.

The previous prime is 3649889. The next prime is 3649903. The reversal of 3649893 is 3989463.

It is not a de Polignac number, because 3649893 - 22 = 3649889 is a prime.

It is a super-2 number, since 2×36498932 = 26643437822898, which contains 22 as substring.

3649893 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3649193) 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, 11505 + ... + 11817.

It is an arithmetic number, because the mean of its divisors is an integer number (229848).

Almost surely, 23649893 is an apocalyptic number.

It is an amenable number.

3649893 is a deficient number, since it is larger than the sum of its proper divisors (1866459).

3649893 is a wasteful number, since it uses less digits than its factorization.

3649893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 352 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 3649893 is about 1910.4693140692. The cubic root of 3649893 is about 153.9666678858.

Subtracting from 3649893 its product of digits (139968), we obtain a triangular number (3509925 = T2649).

The spelling of 3649893 in words is "three million, six hundred forty-nine thousand, eight hundred ninety-three".

Divisors: 1 3 13 23 39 69 169 299 313 507 897 939 3887 4069 7199 11661 12207 21597 52897 93587 158691 280761 1216631 3649893