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53064300 = 22352792239
BaseRepresentation
bin1100101001101…
…1001001101100
310200211221112110
43022123021230
5102041024200
65133204020
71213016262
oct312331154
9120757473
1053064300
1127a53aa3
1215930610
13acbc0c3
147094432
1549d2b50
hex329b26c

53064300 has 72 divisors (see below), whose sum is σ = 155545600. Its totient is φ = 13965120.

The previous prime is 53064299. The next prime is 53064311. The reversal of 53064300 is 346035.

53064300 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, 22581 + ... + 24819.

Almost surely, 253064300 is an apocalyptic number.

53064300 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 53064300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77772800).

53064300 is an abundant number, since it is smaller than the sum of its proper divisors (102481300).

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

53064300 is a wasteful number, since it uses less digits than its factorization.

53064300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 53064300 is about 7284.5246927991. The cubic root of 53064300 is about 375.7804191735.

The spelling of 53064300 in words is "fifty-three million, sixty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 150 158 237 300 316 395 474 790 948 1185 1580 1975 2239 2370 3950 4478 4740 5925 6717 7900 8956 11195 11850 13434 22390 23700 26868 33585 44780 55975 67170 111950 134340 167925 176881 223900 335850 353762 530643 671700 707524 884405 1061286 1768810 2122572 2653215 3537620 4422025 5306430 8844050 10612860 13266075 17688100 26532150 53064300