[go: up one dir, main page]

Search a number
-
+
5304672 = 2532113163
BaseRepresentation
bin10100001111000101100000
3100222111122100
4110033011200
52324222142
6305410400
763042342
oct24170540
910874570
105304672
112aa352a
121939a00
131139679
149c1292
156ebb4c
hex50f160

5304672 has 72 divisors (see below), whose sum is σ = 15312024. Its totient is φ = 1741824.

The previous prime is 5304671. The next prime is 5304679. The reversal of 5304672 is 2764035.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5304671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32463 + ... + 32625.

It is an arithmetic number, because the mean of its divisors is an integer number (212667).

Almost surely, 25304672 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 5304672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7656012).

5304672 is an abundant number, since it is smaller than the sum of its proper divisors (10007352).

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

5304672 is a wasteful number, since it uses less digits than its factorization.

5304672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 5304672 is about 2303.1873566864. The cubic root of 5304672 is about 174.4025558641.

The spelling of 5304672 in words is "five million, three hundred four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 113 144 163 226 288 326 339 452 489 652 678 904 978 1017 1304 1356 1467 1808 1956 2034 2608 2712 2934 3616 3912 4068 5216 5424 5868 7824 8136 10848 11736 15648 16272 18419 23472 32544 36838 46944 55257 73676 110514 147352 165771 221028 294704 331542 442056 589408 663084 884112 1326168 1768224 2652336 5304672