Search a number
-
+
3649041 = 3211293141
BaseRepresentation
bin1101111010111000010001
320212101112200
431322320101
51413232131
6210113413
743005414
oct15727021
96771480
103649041
112072640
12127b869
139a9bc6
146adb7b
154c12e6
hex37ae11

3649041 has 48 divisors (see below), whose sum is σ = 6289920. Its totient is φ = 2016000.

The previous prime is 3649027. The next prime is 3649049. The reversal of 3649041 is 1409463.

It is not a de Polignac number, because 3649041 - 27 = 3648913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3648996 and 3649014.

It is not an unprimeable number, because it can be changed into a prime (3649049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88981 + ... + 89021.

It is an arithmetic number, because the mean of its divisors is an integer number (131040).

Almost surely, 23649041 is an apocalyptic number.

3649041 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3649041 is a deficient number, since it is larger than the sum of its proper divisors (2640879).

3649041 is a wasteful number, since it uses less digits than its factorization.

3649041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3649041 is about 1910.2463191955. The cubic root of 3649041 is about 153.9546867301.

The spelling of 3649041 in words is "three million, six hundred forty-nine thousand, forty-one".

Divisors: 1 3 9 11 29 31 33 41 87 93 99 123 261 279 319 341 369 451 899 957 1023 1189 1271 1353 2697 2871 3069 3567 3813 4059 8091 9889 10701 11439 13079 13981 29667 36859 39237 41943 89001 110577 117711 125829 331731 405449 1216347 3649041