Search a number
-
+
5113056 = 2531317241
BaseRepresentation
bin10011100000010011100000
3100121202210110
4103200103200
52302104211
6301331320
761313604
oct23402340
910552713
105113056
112982573
121866b40
1310a03a0
14971504
156aeea6
hex4e04e0

5113056 has 96 divisors (see below), whose sum is σ = 15367968. Its totient is φ = 1474560.

The previous prime is 5113051. The next prime is 5113063. The reversal of 5113056 is 6503115.

It is a happy number.

5113056 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×51130562 = 52286683318272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5113051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21096 + ... + 21336.

It is an arithmetic number, because the mean of its divisors is an integer number (160083).

Almost surely, 25113056 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 5113056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7683984).

5113056 is an abundant number, since it is smaller than the sum of its proper divisors (10254912).

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

5113056 is a wasteful number, since it uses less digits than its factorization.

5113056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 5113056 is about 2261.2067574638. The cubic root of 5113056 is about 172.2768212289.

It can be divided in two parts, 51 and 13056, that multiplied together give a square (665856 = 8162).

The spelling of 5113056 in words is "five million, one hundred thirteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 156 204 208 221 241 272 312 408 416 442 482 544 624 663 723 816 884 964 1248 1326 1446 1632 1768 1928 2652 2892 3133 3536 3856 4097 5304 5784 6266 7072 7712 8194 9399 10608 11568 12291 12532 16388 18798 21216 23136 24582 25064 32776 37596 49164 50128 53261 65552 75192 98328 100256 106522 131104 150384 159783 196656 213044 300768 319566 393312 426088 639132 852176 1278264 1704352 2556528 5113056