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53210208 = 2531673319
BaseRepresentation
bin1100101011111…
…0110001100000
310201010100200110
43022332301200
5102110211313
65140251320
71214164542
oct312766140
9121110613
1053210208
1128043687
12159a0b40
13b04063c
1470d1692
154a10ec3
hex32bec60

53210208 has 48 divisors (see below), whose sum is σ = 140555520. Its totient is φ = 17625216.

The previous prime is 53210207. The next prime is 53210233. The reversal of 53210208 is 80201235.

53210208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53210207) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 14373 + ... + 17691.

It is an arithmetic number, because the mean of its divisors is an integer number (2928240).

Almost surely, 253210208 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 53210208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70277760).

53210208 is an abundant number, since it is smaller than the sum of its proper divisors (87345312).

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

53210208 is a wasteful number, since it uses less digits than its factorization.

53210208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3499 (or 3491 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 53210208 is about 7294.5327472018. The cubic root of 53210208 is about 376.1245249236.

The spelling of 53210208 in words is "fifty-three million, two hundred ten thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 167 334 501 668 1002 1336 2004 2672 3319 4008 5344 6638 8016 9957 13276 16032 19914 26552 39828 53104 79656 106208 159312 318624 554273 1108546 1662819 2217092 3325638 4434184 6651276 8868368 13302552 17736736 26605104 53210208