Search a number
-
+
5002641 = 35717173
BaseRepresentation
bin10011000101010110010001
3100102011100000
4103011112101
52240041031
6255120213
760343650
oct23052621
910364300
105002641
112907616
121813069
131062057
14943197
1568c3e6
hex4c5591

5002641 has 48 divisors (see below), whose sum is σ = 9120384. Its totient is φ = 2674944.

The previous prime is 5002639. The next prime is 5002649. The reversal of 5002641 is 1462005.

It is a happy number.

It is not a de Polignac number, because 5002641 - 21 = 5002639 is a prime.

5002641 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5002649) 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, 28831 + ... + 29003.

It is an arithmetic number, because the mean of its divisors is an integer number (190008).

Almost surely, 25002641 is an apocalyptic number.

5002641 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

5002641 is a deficient number, since it is larger than the sum of its proper divisors (4117743).

5002641 is a wasteful number, since it uses less digits than its factorization.

5002641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5002641 is about 2236.6584450917. The cubic root of 5002641 is about 171.0276963449.

Adding to 5002641 its reverse (1462005), we get a palindrome (6464646).

The spelling of 5002641 in words is "five million, two thousand, six hundred forty-one".

Divisors: 1 3 7 9 17 21 27 51 63 81 119 153 173 189 243 357 459 519 567 1071 1211 1377 1557 1701 2941 3213 3633 4131 4671 8823 9639 10899 14013 20587 26469 28917 32697 42039 61761 79407 98091 185283 238221 294273 555849 714663 1667547 5002641