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53344200 = 23352713977
BaseRepresentation
bin1100101101111…
…1011111001000
310201101011111010
43023133133020
5102124003300
65143203520
71215263310
oct313373710
9121334433
1053344200
1128125318
1215a465a0
13b089620
147128440
154a3aa50
hex32df7c8

53344200 has 192 divisors, whose sum is σ = 203736960. Its totient is φ = 11243520.

The previous prime is 53344189. The next prime is 53344219. The reversal of 53344200 is 244335.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54112 + ... + 55088.

It is an arithmetic number, because the mean of its divisors is an integer number (1061130).

Almost surely, 253344200 is an apocalyptic number.

53344200 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 53344200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101868480).

53344200 is an abundant number, since it is smaller than the sum of its proper divisors (150392760).

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

53344200 is a wasteful number, since it uses less digits than its factorization.

53344200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 53344200 is about 7303.7113853164. The cubic root of 53344200 is about 376.4399746284.

Adding to 53344200 its reverse (244335), we get a palindrome (53588535).

The spelling of 53344200 in words is "fifty-three million, three hundred forty-four thousand, two hundred".