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5353232000 = 27531719681
BaseRepresentation
bin1001111110001001…
…11101011010000000
3111211002001100202212
410333010331122000
541430411411000
62243110201252
7246441502244
oct47704753200
914732040685
105353232000
1122a783a486
121054953228
136740a6bcc
1438ad70424
15214e7cc35
hex13f13d680

5353232000 has 128 divisors (see below), whose sum is σ = 14093099280. Its totient is φ = 2015232000.

The previous prime is 5353231987. The next prime is 5353232029. The reversal of 5353232000 is 2323535.

It can be written as a sum of positive squares in 8 ways, for example, as 1992015424 + 3361216576 = 44632^2 + 57976^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262160 + ... + 281840.

Almost surely, 25353232000 is an apocalyptic number.

5353232000 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 5353232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7046549640).

5353232000 is an abundant number, since it is smaller than the sum of its proper divisors (8739867280).

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

5353232000 is a wasteful number, since it uses less digits than its factorization.

5353232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19727 (or 19705 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 23.

The square root of 5353232000 is about 73165.7843530704. The cubic root of 5353232000 is about 1749.3311185237.

Adding to 5353232000 its reverse (2323535), we get a palindrome (5355555535).

The spelling of 5353232000 in words is "five billion, three hundred fifty-three million, two hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 128 136 160 170 200 250 272 320 340 400 425 500 544 640 680 800 850 1000 1088 1360 1600 1700 2000 2125 2176 2720 3200 3400 4000 4250 5440 6800 8000 8500 10880 13600 16000 17000 19681 27200 34000 39362 54400 68000 78724 98405 136000 157448 196810 272000 314896 334577 393620 492025 629792 669154 787240 984050 1259584 1338308 1574480 1672885 1968100 2460125 2519168 2676616 3148960 3345770 3936200 4920250 5353232 6297920 6691540 7872400 8364425 9840500 10706464 12595840 13383080 15744800 16728850 19681000 21412928 26766160 31489600 33457700 39362000 41822125 42825856 53532320 62979200 66915400 78724000 83644250 107064640 133830800 157448000 167288500 214129280 267661600 314896000 334577000 535323200 669154000 1070646400 1338308000 2676616000 5353232000