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5284944 = 243273107
BaseRepresentation
bin10100001010010001010000
3100221111120200
4110022101100
52323104234
6305135200
762631000
oct24122120
910844520
105284944
112a8a725
12192a500
1311306b2
149b8000
156e5d99
hex50a450

5284944 has 120 divisors (see below), whose sum is σ = 17409600. Its totient is φ = 1495872.

The previous prime is 5284927. The next prime is 5284957. The reversal of 5284944 is 4494825.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5284899 and 5284908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49339 + ... + 49445.

It is an arithmetic number, because the mean of its divisors is an integer number (145080).

Almost surely, 25284944 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 5284944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8704800).

5284944 is an abundant number, since it is smaller than the sum of its proper divisors (12124656).

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

5284944 is a wasteful number, since it uses less digits than its factorization.

5284944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 5284944 is about 2298.9006068119. The cubic root of 5284944 is about 174.1860870825.

The spelling of 5284944 in words is "five million, two hundred eighty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 107 112 126 144 147 168 196 214 252 294 321 336 343 392 428 441 504 588 642 686 749 784 856 882 963 1008 1029 1176 1284 1372 1498 1712 1764 1926 2058 2247 2352 2568 2744 2996 3087 3528 3852 4116 4494 5136 5243 5488 5992 6174 6741 7056 7704 8232 8988 10486 11984 12348 13482 15408 15729 16464 17976 20972 24696 26964 31458 35952 36701 41944 47187 49392 53928 62916 73402 83888 94374 107856 110103 125832 146804 188748 220206 251664 293608 330309 377496 440412 587216 660618 754992 880824 1321236 1761648 2642472 5284944