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5209488 = 243331389
BaseRepresentation
bin10011110111110110010000
3100210200002000
4103313312100
52313200423
6303354000
762165004
oct23676620
910720060
105209488
112a38a69
1218b2900
13110524b
14998704
156cd843
hex4f7d90

5209488 has 80 divisors (see below), whose sum is σ = 15475200. Its totient is φ = 1676160.

The previous prime is 5209481. The next prime is 5209507. The reversal of 5209488 is 8849025.

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

It is not an unprimeable number, because it can be changed into a prime (5209481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13198 + ... + 13586.

It is an arithmetic number, because the mean of its divisors is an integer number (193440).

Almost surely, 25209488 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 5209488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7737600).

5209488 is an abundant number, since it is smaller than the sum of its proper divisors (10265712).

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

5209488 is a wasteful number, since it uses less digits than its factorization.

5209488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5209488 is about 2282.4302837108. The cubic root of 5209488 is about 173.3531272596.

The spelling of 5209488 in words is "five million, two hundred nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 389 432 496 558 744 778 837 1116 1167 1488 1556 1674 2232 2334 3112 3348 3501 4464 4668 6224 6696 7002 9336 10503 12059 13392 14004 18672 21006 24118 28008 36177 42012 48236 56016 72354 84024 96472 108531 144708 168048 192944 217062 289416 325593 434124 578832 651186 868248 1302372 1736496 2604744 5209488