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5197584 = 243731499
BaseRepresentation
bin10011110100111100010000
3100210001202010
4103310330100
52312310314
6303222520
762115210
oct23647420
910701663
105197584
112a30027
1218a7a40
1310cc9c2
14994240
156ca059
hex4f4f10

5197584 has 80 divisors (see below), whose sum is σ = 15872000. Its totient is φ = 1434240.

The previous prime is 5197573. The next prime is 5197601. The reversal of 5197584 is 4857915.

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 15 ways as a sum of consecutive naturals, for example, 10167 + ... + 10665.

It is an arithmetic number, because the mean of its divisors is an integer number (198400).

Almost surely, 25197584 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 5197584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7936000).

5197584 is an abundant number, since it is smaller than the sum of its proper divisors (10674416).

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

5197584 is a wasteful number, since it uses less digits than its factorization.

5197584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 542 counting only the distinct ones).

The product of its digits is 50400, while the sum is 39.

The square root of 5197584 is about 2279.8210456086. The cubic root of 5197584 is about 173.2209857107.

The spelling of 5197584 in words is "five million, one hundred ninety-seven thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 499 651 744 868 998 1302 1488 1497 1736 1996 2604 2994 3472 3493 3992 5208 5988 6986 7984 10416 10479 11976 13972 15469 20958 23952 27944 30938 41916 46407 55888 61876 83832 92814 108283 123752 167664 185628 216566 247504 324849 371256 433132 649698 742512 866264 1299396 1732528 2598792 5197584