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5248000 = 2105341
BaseRepresentation
bin10100000001010000000000
3100212121220101
4110001100000
52320414000
6304252144
762415202
oct24012000
910777811
105248000
112a6499a
121911054
131119934
149a8772
156d9e6a
hex501400

5248000 has 88 divisors (see below), whose sum is σ = 13411944. Its totient is φ = 2048000.

The previous prime is 5247997. The next prime is 5248003. The reversal of 5248000 is 8425.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5247997) and next prime (5248003).

It can be written as a sum of positive squares in 4 ways, for example, as 1183744 + 4064256 = 1088^2 + 2016^2 .

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5248003) 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, 127980 + ... + 128020.

Almost surely, 25248000 is an apocalyptic number.

5248000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6705972).

5248000 is an abundant number, since it is smaller than the sum of its proper divisors (8163944).

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

5248000 is an equidigital number, since it uses as much as digits as its factorization.

5248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 5248000 is about 2290.8513701242. The cubic root of 5248000 is about 173.7792594307.

The spelling of 5248000 in words is "five million, two hundred forty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 64 80 82 100 125 128 160 164 200 205 250 256 320 328 400 410 500 512 640 656 800 820 1000 1024 1025 1280 1312 1600 1640 2000 2050 2560 2624 3200 3280 4000 4100 5120 5125 5248 6400 6560 8000 8200 10250 10496 12800 13120 16000 16400 20500 20992 25600 26240 32000 32800 41000 41984 52480 64000 65600 82000 104960 128000 131200 164000 209920 262400 328000 524800 656000 1049600 1312000 2624000 5248000