Search a number
-
+
5627136 = 28317431
BaseRepresentation
bin10101011101110100000000
3101120212222110
4111131310000
52420032021
6320335320
765554434
oct25356400
911525873
105627136
1131a3829
121a74540
131220388
14a669c4
15762476
hex55dd00

5627136 has 72 divisors (see below), whose sum is σ = 15894144. Its totient is φ = 1761280.

The previous prime is 5627101. The next prime is 5627143. The reversal of 5627136 is 6317265.

It is a zygodrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12841 + ... + 13271.

It is an arithmetic number, because the mean of its divisors is an integer number (220752).

Almost surely, 25627136 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 5627136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7947072).

5627136 is an abundant number, since it is smaller than the sum of its proper divisors (10267008).

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

5627136 is a wasteful number, since it uses less digits than its factorization.

5627136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 453 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 5627136 is about 2372.1585107239. The cubic root of 5627136 is about 177.8671735582.

The spelling of 5627136 in words is "five million, six hundred twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 431 544 768 816 862 1088 1293 1632 1724 2176 2586 3264 3448 4352 5172 6528 6896 7327 10344 13056 13792 14654 20688 21981 27584 29308 41376 43962 55168 58616 82752 87924 110336 117232 165504 175848 234464 331008 351696 468928 703392 937856 1406784 1875712 2813568 5627136