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53341000 = 2353411301
BaseRepresentation
bin1100101101111…
…0101101001000
310201101000002121
43023132231020
5102123403000
65143141024
71215251056
oct313365510
9121330077
1053341000
1128122979
1215a44774
13b08802b
1471271d6
154a39b1a
hex32deb48

53341000 has 64 divisors (see below), whose sum is σ = 127960560. Its totient is φ = 20800000.

The previous prime is 53340997. The next prime is 53341007. The reversal of 53341000 is 14335.

It can be written as a sum of positive squares in 8 ways, for example, as 11168964 + 42172036 = 3342^2 + 6494^2 .

It is not an unprimeable number, because it can be changed into a prime (53341007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40350 + ... + 41650.

Almost surely, 253341000 is an apocalyptic number.

53341000 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 53341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63980280).

53341000 is an abundant number, since it is smaller than the sum of its proper divisors (74619560).

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

53341000 is a wasteful number, since it uses less digits than its factorization.

53341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 53341000 is about 7303.4923153242. The cubic root of 53341000 is about 376.4324472121.

Adding to 53341000 its reverse (14335), we get a palindrome (53355335).

The spelling of 53341000 in words is "fifty-three million, three hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 410 500 820 1000 1025 1301 1640 2050 2602 4100 5125 5204 6505 8200 10250 10408 13010 20500 26020 32525 41000 52040 53341 65050 106682 130100 162625 213364 260200 266705 325250 426728 533410 650500 1066820 1301000 1333525 2133640 2667050 5334100 6667625 10668200 13335250 26670500 53341000