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5209280 = 26573223
BaseRepresentation
bin10011110111110011000000
3100210122210022
4103313303000
52313144110
6303353012
762164256
oct23676300
910718708
105209280
112a3889a
1218b2768
13110511b
149985d6
156cd755
hex4f7cc0

5209280 has 56 divisors (see below), whose sum is σ = 12630912. Its totient is φ = 2045952.

The previous prime is 5209279. The next prime is 5209283. The reversal of 5209280 is 829025.

It is not an unprimeable number, because it can be changed into a prime (5209283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23249 + ... + 23471.

It is an arithmetic number, because the mean of its divisors is an integer number (225552).

Almost surely, 25209280 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 5209280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6315456).

5209280 is an abundant number, since it is smaller than the sum of its proper divisors (7421632).

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

5209280 is a wasteful number, since it uses less digits than its factorization.

5209280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 5209280 is about 2282.3847177897. The cubic root of 5209280 is about 173.3508200635.

The spelling of 5209280 in words is "five million, two hundred nine thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 146 160 223 292 320 365 446 584 730 892 1115 1168 1460 1784 2230 2336 2920 3568 4460 4672 5840 7136 8920 11680 14272 16279 17840 23360 32558 35680 65116 71360 81395 130232 162790 260464 325580 520928 651160 1041856 1302320 2604640 5209280