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5722800 = 2435219251
BaseRepresentation
bin10101110101001010110000
3101202202012120
4111311022300
52431112200
6322354240
766433356
oct25651260
911682176
105722800
113259696
121abb980
131254a95
14a8d7d6
157809a0
hex5752b0

5722800 has 120 divisors (see below), whose sum is σ = 19373760. Its totient is φ = 1440000.

The previous prime is 5722799. The next prime is 5722841. The reversal of 5722800 is 82275.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22675 + ... + 22925.

It is an arithmetic number, because the mean of its divisors is an integer number (161448).

Almost surely, 25722800 is an apocalyptic number.

5722800 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 5722800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9686880).

5722800 is an abundant number, since it is smaller than the sum of its proper divisors (13650960).

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

5722800 is a wasteful number, since it uses less digits than its factorization.

5722800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 5722800 is about 2392.2374464087. The cubic root of 5722800 is about 178.8694573724.

It can be divided in two parts, 57 and 22800, that multiplied together give a square (1299600 = 11402).

The spelling of 5722800 in words is "five million, seven hundred twenty-two thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 150 152 190 200 228 240 251 285 300 304 380 400 456 475 502 570 600 753 760 912 950 1004 1140 1200 1255 1425 1506 1520 1900 2008 2280 2510 2850 3012 3765 3800 4016 4560 4769 5020 5700 6024 6275 7530 7600 9538 10040 11400 12048 12550 14307 15060 18825 19076 20080 22800 23845 25100 28614 30120 37650 38152 47690 50200 57228 60240 71535 75300 76304 95380 100400 114456 119225 143070 150600 190760 228912 238450 286140 301200 357675 381520 476900 572280 715350 953800 1144560 1430700 1907600 2861400 5722800