Search a number
-
+
52724313 = 3261137701
BaseRepresentation
bin1100100100100…
…0001001011001
310200012200011100
43021020021121
5101444134223
65122022013
71210102125
oct311101131
9120180140
1052724313
1127841614
12157a7909
13ac00425
147006585
154967043
hex3248259

52724313 has 24 divisors (see below), whose sum is σ = 78082056. Its totient is φ = 34272000.

The previous prime is 52724299. The next prime is 52724317. The reversal of 52724313 is 31342725.

It can be written as a sum of positive squares in 4 ways, for example, as 5774409 + 46949904 = 2403^2 + 6852^2 .

It is not a de Polignac number, because 52724313 - 26 = 52724249 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52724317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74863 + ... + 75563.

It is an arithmetic number, because the mean of its divisors is an integer number (3253419).

Almost surely, 252724313 is an apocalyptic number.

It is an amenable number.

52724313 is a deficient number, since it is larger than the sum of its proper divisors (25357743).

52724313 is a wasteful number, since it uses less digits than its factorization.

52724313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 902 counting only the distinct ones).

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

The square root of 52724313 is about 7261.1509418273. The cubic root of 52724313 is about 374.9761478162.

The spelling of 52724313 in words is "fifty-two million, seven hundred twenty-four thousand, three hundred thirteen".

Divisors: 1 3 9 61 137 183 411 549 701 1233 2103 6309 8357 25071 42761 75213 96037 128283 288111 384849 864333 5858257 17574771 52724313