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5452514200 = 2352723111789
BaseRepresentation
bin1010001001111111…
…01100001110011000
3112001222212102100101
411010333230032120
542131320423300
62301014145144
7252055414600
oct50477541630
915058772311
105452514200
112348890691
1210820521b4
1368b828a83
1439a215c00
1521da3eb6a
hex144fec398

5452514200 has 144 divisors (see below), whose sum is σ = 14802512400. Its totient is φ = 1862380800.

The previous prime is 5452514173. The next prime is 5452514209. The reversal of 5452514200 is 24152545.

It is a super-2 number, since 2×54525142002 = 59459822202403280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5452514209) 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 35 ways as a sum of consecutive naturals, for example, 3046906 + ... + 3048694.

It is an arithmetic number, because the mean of its divisors is an integer number (102795225).

Almost surely, 25452514200 is an apocalyptic number.

5452514200 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 5452514200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7401256200).

5452514200 is an abundant number, since it is smaller than the sum of its proper divisors (9349998200).

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

5452514200 is a wasteful number, since it uses less digits than its factorization.

5452514200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

The square root of 5452514200 is about 73841.1416488126. The cubic root of 5452514200 is about 1760.0794342592.

Adding to 5452514200 its reverse (24152545), we get a palindrome (5476666745).

The spelling of 5452514200 in words is "five billion, four hundred fifty-two million, five hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 311 350 392 490 622 700 980 1225 1244 1400 1555 1789 1960 2177 2450 2488 3110 3578 4354 4900 6220 7156 7775 8708 8945 9800 10885 12440 12523 14312 15239 15550 17416 17890 21770 25046 30478 31100 35780 43540 44725 50092 54425 60956 62200 62615 71560 76195 87080 87661 89450 100184 108850 121912 125230 152390 175322 178900 217700 250460 304780 313075 350644 357800 380975 435400 438305 500920 556379 609560 626150 701288 761950 876610 1112758 1252300 1523900 1753220 2191525 2225516 2504600 2781895 3047800 3506440 3894653 4383050 4451032 5563790 7789306 8766100 11127580 13909475 15578612 17532200 19473265 22255160 27262571 27818950 31157224 38946530 54525142 55637900 77893060 97366325 109050284 111275800 136312855 155786120 194732650 218100568 272625710 389465300 545251420 681564275 778930600 1090502840 1363128550 2726257100 5452514200