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53540200 = 23527167229
BaseRepresentation
bin1100110000111…
…1010101101000
310201202010100101
43030033111220
5102201241300
65151315144
71220040610
oct314172550
9121663311
1053540200
11282495aa
1215b1bab4
13b1278bc
147179a40
154a78b6a
hex330f568

53540200 has 96 divisors (see below), whose sum is σ = 143740800. Its totient is φ = 18167040.

The previous prime is 53540197. The next prime is 53540231. The reversal of 53540200 is 204535.

It is a happy number.

53540200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233686 + ... + 233914.

It is an arithmetic number, because the mean of its divisors is an integer number (1497300).

Almost surely, 253540200 is an apocalyptic number.

53540200 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 53540200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71870400).

53540200 is an abundant number, since it is smaller than the sum of its proper divisors (90200600).

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

53540200 is a wasteful number, since it uses less digits than its factorization.

53540200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 53540200 is about 7317.1169185684. The cubic root of 53540200 is about 376.9004561441.

Adding to 53540200 its reverse (204535), we get a palindrome (53744735).

The spelling of 53540200 in words is "fifty-three million, five hundred forty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 167 175 200 229 280 334 350 458 668 700 835 916 1145 1169 1336 1400 1603 1670 1832 2290 2338 3206 3340 4175 4580 4676 5725 5845 6412 6680 8015 8350 9160 9352 11450 11690 12824 16030 16700 22900 23380 29225 32060 33400 38243 40075 45800 46760 58450 64120 76486 80150 116900 152972 160300 191215 233800 267701 305944 320600 382430 535402 764860 956075 1070804 1338505 1529720 1912150 2141608 2677010 3824300 5354020 6692525 7648600 10708040 13385050 26770100 53540200