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53353300 = 225271113241
BaseRepresentation
bin1100101110000…
…1101101010100
310201101121222011
43023201231110
5102124301200
65143314004
71215331660
oct313415524
9121347864
1053353300
1128131140
1215a4b904
13b090800
14712b8a0
154a3d5ba
hex32e1b54

53353300 has 216 divisors, whose sum is σ = 160114752. Its totient is φ = 14976000.

The previous prime is 53353253. The next prime is 53353337. The reversal of 53353300 is 335335.

It is a happy number.

53353300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 1301280 + ... + 1301320.

It is an arithmetic number, because the mean of its divisors is an integer number (741272).

Almost surely, 253353300 is an apocalyptic number.

53353300 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 53353300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80057376).

53353300 is an abundant number, since it is smaller than the sum of its proper divisors (106761452).

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

53353300 is a wasteful number, since it uses less digits than its factorization.

53353300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 22.

The square root of 53353300 is about 7304.3343296977. The cubic root of 53353300 is about 376.4613790735.

Adding to 53353300 its reverse (335335), we get a palindrome (53688635).

It can be divided in two parts, 533 and 53300, that multiplied together give a square (28408900 = 53302).

The spelling of 53353300 in words is "fifty-three million, three hundred fifty-three thousand, three hundred".