Search a number
-
+
5000996 = 22711131249
BaseRepresentation
bin10011000100111100100100
3100102002002002
4103010330210
52240012441
6255104432
760336110
oct23047444
910362062
105000996
112906360
121812118
131061390
14942740
1568bb9b
hex4c4f24

5000996 has 48 divisors (see below), whose sum is σ = 11760000. Its totient is φ = 1797120.

The previous prime is 5000993. The next prime is 5001001. The reversal of 5000996 is 6990005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5000993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3380 + ... + 4628.

It is an arithmetic number, because the mean of its divisors is an integer number (245000).

Almost surely, 25000996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5000996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5880000).

5000996 is an abundant number, since it is smaller than the sum of its proper divisors (6759004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5000996 is a wasteful number, since it uses less digits than its factorization.

5000996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 29.

The square root of 5000996 is about 2236.2906787804. The cubic root of 5000996 is about 171.0089481541.

It can be divided in two parts, 50009 and 96, that added together give a palindrome (50105).

The spelling of 5000996 in words is "five million, nine hundred ninety-six", and thus it is an aban number.

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 1249 2002 2498 4004 4996 8743 13739 16237 17486 27478 32474 34972 54956 64948 96173 113659 178607 192346 227318 357214 384692 454636 714428 1250249 2500498 5000996