Search a number
-
+
5147744 = 257467
BaseRepresentation
bin10011101000110001100000
3100200112101012
4103220301200
52304211434
6302200052
761520000
oct23506140
910615335
105147744
1129a6638
121883028
1310b3104
14980000
156ba3ce
hex4e8c60

5147744 has 60 divisors (see below), whose sum is σ = 11999484. Its totient is φ = 2173248.

The previous prime is 5147711. The next prime is 5147749. The reversal of 5147744 is 4477415.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 5147744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5147749) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 76799 + ... + 76865.

Almost surely, 25147744 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 5147744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5999742).

5147744 is an abundant number, since it is smaller than the sum of its proper divisors (6851740).

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

5147744 is an frugal number, since it uses more digits than its factorization.

5147744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 76 counting only the distinct ones).

The product of its digits is 15680, while the sum is 32.

The square root of 5147744 is about 2268.8640329469. The cubic root of 5147744 is about 172.6655303878.

It can be divided in two parts, 5 and 147744, that multiplied together give a triangular number (738720 = T1215).

The spelling of 5147744 in words is "five million, one hundred forty-seven thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 67 98 112 134 196 224 268 343 392 469 536 686 784 938 1072 1372 1568 1876 2144 2401 2744 3283 3752 4802 5488 6566 7504 9604 10976 13132 15008 19208 22981 26264 38416 45962 52528 76832 91924 105056 160867 183848 321734 367696 643468 735392 1286936 2573872 5147744