Search a number
-
+
3793041 = 33724761
BaseRepresentation
bin1110011110000010010001
321010201002000
432132002101
51432334131
6213144213
744145300
oct16360221
97121060
103793041
11216084a
12132b069
13a2a605
1470a437
154edce6
hex39e091

3793041 has 48 divisors (see below), whose sum is σ = 6785280. Its totient is φ = 2086560.

The previous prime is 3793039. The next prime is 3793061. The reversal of 3793041 is 1403973.

It is not a de Polignac number, because 3793041 - 21 = 3793039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3792996 and 3793014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3793001) 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, 62151 + ... + 62211.

It is an arithmetic number, because the mean of its divisors is an integer number (141360).

Almost surely, 23793041 is an apocalyptic number.

It is an amenable number.

3793041 is a deficient number, since it is larger than the sum of its proper divisors (2992239).

3793041 is a wasteful number, since it uses less digits than its factorization.

3793041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3793041 is about 1947.5731051747. The cubic root of 3793041 is about 155.9537584838.

The spelling of 3793041 in words is "three million, seven hundred ninety-three thousand, forty-one".

Divisors: 1 3 7 9 21 27 47 49 61 63 141 147 183 189 329 423 427 441 549 987 1269 1281 1323 1647 2303 2867 2961 2989 3843 6909 8601 8883 8967 11529 20069 20727 25803 26901 60207 62181 77409 80703 140483 180621 421449 541863 1264347 3793041