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5248640 = 27559139
BaseRepresentation
bin10100000001011010000000
3100212122210002
4110001122000
52320424030
6304255132
762420105
oct24013200
910778702
105248640
112a65421
1219114a8
13111a007
149a8aac
156da245
hex501680

5248640 has 64 divisors (see below), whose sum is σ = 12852000. Its totient is φ = 2049024.

The previous prime is 5248637. The next prime is 5248687. The reversal of 5248640 is 468425.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37691 + ... + 37829.

Almost surely, 25248640 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 5248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6426000).

5248640 is an abundant number, since it is smaller than the sum of its proper divisors (7603360).

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

5248640 is a wasteful number, since it uses less digits than its factorization.

5248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 5248640 is about 2290.9910519249. The cubic root of 5248640 is about 173.7863233411.

The spelling of 5248640 in words is "five million, two hundred forty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 128 139 160 236 278 295 320 472 556 590 640 695 944 1112 1180 1390 1888 2224 2360 2780 3776 4448 4720 5560 7552 8201 8896 9440 11120 16402 17792 18880 22240 32804 37760 41005 44480 65608 82010 88960 131216 164020 262432 328040 524864 656080 1049728 1312160 2624320 5248640