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5245600 = 25527983
BaseRepresentation
bin10100000000101010100000
3100212111121111
4110000222200
52320324400
6304233104
762405203
oct24005240
910774544
105245600
112a63108
12190b794
131118809
149a793a
156d93ba
hex500aa0

5245600 has 72 divisors (see below), whose sum is σ = 13124160. Its totient is φ = 2046720.

The previous prime is 5245553. The next prime is 5245609. The reversal of 5245600 is 65425.

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 (5245609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63159 + ... + 63241.

It is an arithmetic number, because the mean of its divisors is an integer number (182280).

Almost surely, 25245600 is an apocalyptic number.

5245600 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 5245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6562080).

5245600 is an abundant number, since it is smaller than the sum of its proper divisors (7878560).

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

5245600 is a wasteful number, since it uses less digits than its factorization.

5245600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 5245600 is about 2290.3274875004. The cubic root of 5245600 is about 173.7527646507.

The spelling of 5245600 in words is "five million, two hundred forty-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 79 80 83 100 158 160 166 200 316 332 395 400 415 632 664 790 800 830 1264 1328 1580 1660 1975 2075 2528 2656 3160 3320 3950 4150 6320 6557 6640 7900 8300 12640 13114 13280 15800 16600 26228 31600 32785 33200 52456 63200 65570 66400 104912 131140 163925 209824 262280 327850 524560 655700 1049120 1311400 2622800 5245600