Search a number
-
+
5006274 = 2371353173
BaseRepresentation
bin10011000110001111000010
3100102100022120
4103012033002
52240200044
6255145110
760360360
oct23061702
910370276
105006274
11290a319
121815196
1310638c0
14944630
1568d519
hex4c63c2

5006274 has 64 divisors (see below), whose sum is σ = 12628224. Its totient is φ = 1287936.

The previous prime is 5006273. The next prime is 5006297. The reversal of 5006274 is 4726005.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5006273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28852 + ... + 29024.

It is an arithmetic number, because the mean of its divisors is an integer number (197316).

Almost surely, 25006274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5006274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6314112).

5006274 is an abundant number, since it is smaller than the sum of its proper divisors (7621950).

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

5006274 is a wasteful number, since it uses less digits than its factorization.

5006274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251.

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 5006274 is about 2237.4704467322. The cubic root of 5006274 is about 171.0690873669.

The spelling of 5006274 in words is "five million, six thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 53 78 91 106 159 173 182 273 318 346 371 519 546 689 742 1038 1113 1211 1378 2067 2226 2249 2422 3633 4134 4498 4823 6747 7266 9169 9646 13494 14469 15743 18338 27507 28938 31486 47229 55014 64183 94458 119197 128366 192549 238394 357591 385098 715182 834379 1668758 2503137 5006274