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53522208 = 25356883
BaseRepresentation
bin1100110000101…
…0111100100000
310201201012200000
43030022330200
5102200202313
65151100000
71216634265
oct314127440
9121635600
1053522208
1128237033
1215b11600
13b11c65c
14717326c
154a73673
hex330af20

53522208 has 72 divisors (see below), whose sum is σ = 157863888. Its totient is φ = 17838144.

The previous prime is 53522207. The next prime is 53522267. The reversal of 53522208 is 80222535.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (53522207) by changing a digit.

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, 4335 + ... + 11217.

It is an arithmetic number, because the mean of its divisors is an integer number (2192554).

Almost surely, 253522208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53522208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78931944).

53522208 is an abundant number, since it is smaller than the sum of its proper divisors (104341680).

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

53522208 is an equidigital number, since it uses as much as digits as its factorization.

53522208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6908 (or 6888 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 53522208 is about 7315.8873692806. The cubic root of 53522208 is about 376.8582327136.

The spelling of 53522208 in words is "fifty-three million, five hundred twenty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 6883 7776 13766 20649 27532 41298 55064 61947 82596 110128 123894 165192 185841 220256 247788 330384 371682 495576 557523 660768 743364 991152 1115046 1486728 1672569 1982304 2230092 2973456 3345138 4460184 5946912 6690276 8920368 13380552 17840736 26761104 53522208