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5725043200 = 29524110909
BaseRepresentation
bin1010101010011110…
…10011101000000000
3112202222200022212001
411111033103220000
543211102340300
62344031313344
7261605031022
oct52517235000
915688608761
105725043200
112478701768
12113937b854
13703128a36
143c44b8012
1523792416a
hex1553d3a00

5725043200 has 120 divisors (see below), whose sum is σ = 14531530860. Its totient is φ = 2233958400.

The previous prime is 5725043167. The next prime is 5725043209. The reversal of 5725043200 is 23405275.

It can be written as a sum of positive squares in 6 ways, for example, as 277422336 + 5447620864 = 16656^2 + 73808^2 .

It is a super-2 number, since 2×57250432002 = 65552239283732480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5725043209) 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, 519346 + ... + 530254.

Almost surely, 25725043200 is an apocalyptic number.

5725043200 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 5725043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7265765430).

5725043200 is an abundant number, since it is smaller than the sum of its proper divisors (8806487660).

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

5725043200 is a wasteful number, since it uses less digits than its factorization.

5725043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10978 (or 10957 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 5725043200 is about 75664.0152252046. The cubic root of 5725043200 is about 1788.9282516161.

Adding to 5725043200 its reverse (23405275), we get a palindrome (5748448475).

The spelling of 5725043200 in words is "five billion, seven hundred twenty-five million, forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 64 80 82 100 128 160 164 200 205 256 320 328 400 410 512 640 656 800 820 1025 1280 1312 1600 1640 2050 2560 2624 3200 3280 4100 5248 6400 6560 8200 10496 10909 12800 13120 16400 20992 21818 26240 32800 43636 52480 54545 65600 87272 104960 109090 131200 174544 218180 262400 272725 349088 436360 447269 524800 545450 698176 872720 894538 1090900 1396352 1745440 1789076 2181800 2236345 2792704 3490880 3578152 4363600 4472690 5585408 6981760 7156304 8727200 8945380 11181725 13963520 14312608 17454400 17890760 22363450 27927040 28625216 34908800 35781520 44726900 57250432 69817600 71563040 89453800 114500864 139635200 143126080 178907600 229001728 286252160 357815200 572504320 715630400 1145008640 1431260800 2862521600 5725043200