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53413400 = 2352535039
BaseRepresentation
bin1100101111000…
…0011000011000
310201111200102002
43023300120120
5102133212100
65144500132
71216002125
oct313603030
9121450362
1053413400
1128172307
1215a7a648
13b0b1c81
14714574c
154a512d5
hex32f0618

53413400 has 48 divisors (see below), whose sum is σ = 126554400. Its totient is φ = 20958080.

The previous prime is 53413397. The next prime is 53413411. The reversal of 53413400 is 431435.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 8081 + ... + 13119.

It is an arithmetic number, because the mean of its divisors is an integer number (2636550).

Almost surely, 253413400 is an apocalyptic number.

53413400 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 53413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63277200).

53413400 is an abundant number, since it is smaller than the sum of its proper divisors (73141000).

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

53413400 is a wasteful number, since it uses less digits than its factorization.

53413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5108 (or 5099 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 53413400 is about 7308.4471674905. The cubic root of 53413400 is about 376.6026814156.

Adding to 53413400 its reverse (431435), we get a palindrome (53844835).

The spelling of 53413400 in words is "fifty-three million, four hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 2120 2650 5039 5300 10078 10600 20156 25195 40312 50390 100780 125975 201560 251950 267067 503900 534134 1007800 1068268 1335335 2136536 2670670 5341340 6676675 10682680 13353350 26706700 53413400