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5266400 = 255229227
BaseRepresentation
bin10100000101101111100000
3100220120010212
4110011233200
52322011100
6304513252
762522636
oct24055740
910816125
105266400
112a777a7
12191b828
131125119
149b1356
156e0635
hex505be0

5266400 has 72 divisors (see below), whose sum is σ = 13358520. Its totient is φ = 2024960.

The previous prime is 5266381. The next prime is 5266423. The reversal of 5266400 is 46625.

Added to its reverse (46625) it gives a square (5313025 = 23052).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23087 + ... + 23313.

It is an arithmetic number, because the mean of its divisors is an integer number (185535).

Almost surely, 25266400 is an apocalyptic number.

5266400 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 5266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6679260).

5266400 is an abundant number, since it is smaller than the sum of its proper divisors (8092120).

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

5266400 is a wasteful number, since it uses less digits than its factorization.

5266400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 5266400 is about 2294.8638303830. The cubic root of 5266400 is about 173.9821182135.

Adding to 5266400 its reverse (46625), we get a square (5313025 = 23052).

The spelling of 5266400 in words is "five million, two hundred sixty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 145 160 200 227 232 290 400 454 464 580 725 800 908 928 1135 1160 1450 1816 2270 2320 2900 3632 4540 4640 5675 5800 6583 7264 9080 11350 11600 13166 18160 22700 23200 26332 32915 36320 45400 52664 65830 90800 105328 131660 164575 181600 210656 263320 329150 526640 658300 1053280 1316600 2633200 5266400