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53431300 = 225213231787
BaseRepresentation
bin1100101111010…
…0110000000100
310201112120222001
43023310300010
5102134300200
65145115044
71216105246
oct313646004
9121476861
1053431300
11281847aa
1215a88a84
13b0ba170
14714c096
154a5676a
hex32f4c04

53431300 has 72 divisors (see below), whose sum is σ = 130366656. Its totient is φ = 18860160.

The previous prime is 53431297. The next prime is 53431349. The reversal of 53431300 is 313435.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29007 + ... + 30793.

It is an arithmetic number, because the mean of its divisors is an integer number (1810648).

Almost surely, 253431300 is an apocalyptic number.

53431300 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 53431300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65183328).

53431300 is an abundant number, since it is smaller than the sum of its proper divisors (76935356).

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

53431300 is a wasteful number, since it uses less digits than its factorization.

53431300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 53431300 is about 7309.6716752533. The cubic root of 53431300 is about 376.6447459855.

Adding to 53431300 its reverse (313435), we get a palindrome (53744735).

The spelling of 53431300 in words is "fifty-three million, four hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 130 230 260 299 325 460 575 598 650 1150 1196 1300 1495 1787 2300 2990 3574 5980 7148 7475 8935 14950 17870 23231 29900 35740 41101 44675 46462 82202 89350 92924 116155 164404 178700 205505 232310 411010 464620 534313 580775 822020 1027525 1068626 1161550 2055050 2137252 2323100 2671565 4110100 5343130 10686260 13357825 26715650 53431300