Search a number
-
+
5074335 = 325789181
BaseRepresentation
bin10011010110110110011111
3100112210200100
4103112312133
52244334320
6300432143
761062660
oct23266637
910483610
105074335
112956472
121848653
131088886
14961367
156a3790
hex4d6d9f

5074335 has 48 divisors (see below), whose sum is σ = 10221120. Its totient is φ = 2280960.

The previous prime is 5074271. The next prime is 5074337. The reversal of 5074335 is 5334705.

It is a happy number.

It is not a de Polignac number, because 5074335 - 26 = 5074271 is a prime.

5074335 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 5074299 and 5074308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5074337) 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, 27945 + ... + 28125.

It is an arithmetic number, because the mean of its divisors is an integer number (212940).

Almost surely, 25074335 is an apocalyptic number.

5074335 is an abundant number, since it is smaller than the sum of its proper divisors (5146785).

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

5074335 is a wasteful number, since it uses less digits than its factorization.

5074335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 5074335 is about 2252.6284647052. The cubic root of 5074335 is about 171.8408366258.

The spelling of 5074335 in words is "five million, seventy-four thousand, three hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 89 105 181 267 315 445 543 623 801 905 1267 1335 1629 1869 2715 3115 3801 4005 5607 6335 8145 9345 11403 16109 19005 28035 48327 57015 80545 112763 144981 241635 338289 563815 724905 1014867 1691445 5074335