Search a number
-
+
5140944 = 2432191879
BaseRepresentation
bin10011100111000111010000
3100200012001100
4103213013100
52304002234
6302104400
761461114
oct23470720
910605040
105140944
1129a1516
12187b100
1310acca3
1497b744
156b8399
hex4e71d0

5140944 has 60 divisors (see below), whose sum is σ = 15152800. Its totient is φ = 1622592.

The previous prime is 5140939. The next prime is 5140957. The reversal of 5140944 is 4490415.

It is a super-2 number, since 2×51409442 = 52858610422272, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1797 + ... + 3675.

Almost surely, 25140944 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 5140944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7576400).

5140944 is an abundant number, since it is smaller than the sum of its proper divisors (10011856).

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

5140944 is a wasteful number, since it uses less digits than its factorization.

5140944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5140944 is about 2267.3649904680. The cubic root of 5140944 is about 172.5894683963.

Adding to 5140944 its product of nonzero digits (2880), we get a square (5143824 = 22682).

It can be divided in two parts, 5140 and 944, that added together give a square (6084 = 782).

The spelling of 5140944 in words is "five million, one hundred forty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 1879 2736 3758 5637 7516 11274 15032 16911 22548 30064 33822 35701 45096 67644 71402 90192 107103 135288 142804 214206 270576 285608 321309 428412 571216 642618 856824 1285236 1713648 2570472 5140944