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5353433200 = 2452611511453
BaseRepresentation
bin1001111110001011…
…01110100001110000
3111211002102120202201
410333011232201300
541430434330300
62243114352544
7246443300653
oct47705564160
914732376681
105353433200
1122a7967665
121054a2b754
1367414766b
1438adc389a
15214ebc66a
hex13f16e870

5353433200 has 120 divisors (see below), whose sum is σ = 13168098656. Its totient is φ = 2090880000.

The previous prime is 5353433153. The next prime is 5353433207. The reversal of 5353433200 is 23343535.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5353433207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3683674 + ... + 3685126.

Almost surely, 25353433200 is an apocalyptic number.

5353433200 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 5353433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6584049328).

5353433200 is an abundant number, since it is smaller than the sum of its proper divisors (7814665456).

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

5353433200 is a wasteful number, since it uses less digits than its factorization.

5353433200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 28.

The square root of 5353433200 is about 73167.1592997842. The cubic root of 5353433200 is about 1749.3530343191.

Adding to 5353433200 its reverse (23343535), we get a palindrome (5376776735).

The spelling of 5353433200 in words is "five billion, three hundred fifty-three million, four hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 151 200 244 302 305 400 488 604 610 755 976 1208 1220 1453 1510 1525 2416 2440 2906 3020 3050 3775 4880 5812 6040 6100 7265 7550 9211 11624 12080 12200 14530 15100 18422 23248 24400 29060 30200 36325 36844 46055 58120 60400 72650 73688 88633 92110 116240 145300 147376 177266 184220 219403 230275 290600 354532 368440 438806 443165 460550 581200 709064 736880 877612 886330 921100 1097015 1418128 1755224 1772660 1842200 2194030 2215825 3510448 3545320 3684400 4388060 4431650 5485075 7090640 8776120 8863300 10970150 13383583 17552240 17726600 21940300 26767166 35453200 43880600 53534332 66917915 87761200 107068664 133835830 214137328 267671660 334589575 535343320 669179150 1070686640 1338358300 2676716600 5353433200