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5244800 = 275211149
BaseRepresentation
bin10100000000011110000000
3100212110111212
4110000132000
52320313200
6304225252
762402651
oct24003600
910773455
105244800
112a62550
12190b228
131118342
149a7528
156d9035
hex500780

5244800 has 96 divisors (see below), whose sum is σ = 14229000. Its totient is φ = 1894400.

The previous prime is 5244791. The next prime is 5244803. The reversal of 5244800 is 84425.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5244803) 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, 35126 + ... + 35274.

Almost surely, 25244800 is an apocalyptic number.

5244800 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 5244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7114500).

5244800 is an abundant number, since it is smaller than the sum of its proper divisors (8984200).

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

5244800 is a wasteful number, since it uses less digits than its factorization.

5244800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 5244800 is about 2290.1528333279. The cubic root of 5244800 is about 173.7439312616.

The spelling of 5244800 in words is "five million, two hundred forty-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 149 160 176 200 220 275 298 320 352 400 440 550 596 640 704 745 800 880 1100 1192 1408 1490 1600 1639 1760 2200 2384 2980 3200 3278 3520 3725 4400 4768 5960 6556 7040 7450 8195 8800 9536 11920 13112 14900 16390 17600 19072 23840 26224 29800 32780 35200 40975 47680 52448 59600 65560 81950 95360 104896 119200 131120 163900 209792 238400 262240 327800 476800 524480 655600 1048960 1311200 2622400 5244800