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3681249 = 311138581
BaseRepresentation
bin1110000010101111100001
320221000201120
432002233201
51420244444
6210522453
743201335
oct16025741
96830646
103681249
112094860
121296429
139bb770
146bb7c5
154cab19
hex382be1

3681249 has 16 divisors (see below), whose sum is σ = 5767104. Its totient is φ = 2059200.

The previous prime is 3681239. The next prime is 3681253. The reversal of 3681249 is 9421863.

3681249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3681249 - 25 = 3681217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3681239) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3862 + ... + 4719.

It is an arithmetic number, because the mean of its divisors is an integer number (360444).

Almost surely, 23681249 is an apocalyptic number.

3681249 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

3681249 is a deficient number, since it is larger than the sum of its proper divisors (2085855).

3681249 is a wasteful number, since it uses less digits than its factorization.

3681249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8608.

The product of its digits is 10368, while the sum is 33.

The square root of 3681249 is about 1918.6581248362. The cubic root of 3681249 is about 154.4063172489.

The spelling of 3681249 in words is "three million, six hundred eighty-one thousand, two hundred forty-nine".

Divisors: 1 3 11 13 33 39 143 429 8581 25743 94391 111553 283173 334659 1227083 3681249