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53824212 = 223213472447
BaseRepresentation
bin1100110101010…
…0101011010100
310202021112221100
43031110223110
5102234333322
65201350100
71222332621
oct315245324
9122245840
1053824212
1128422a22
1216038330
13b1c6c60
147211348
154ad2dac
hex3354ad4

53824212 has 72 divisors (see below), whose sum is σ = 149700096. Its totient is φ = 16202304.

The previous prime is 53824181. The next prime is 53824231. The reversal of 53824212 is 21242835.

53824212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 20773 + ... + 23219.

It is an arithmetic number, because the mean of its divisors is an integer number (2079168).

Almost surely, 253824212 is an apocalyptic number.

53824212 is a gapful number since it is divisible by the number (52) 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 53824212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74850048).

53824212 is an abundant number, since it is smaller than the sum of its proper divisors (95875884).

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

53824212 is a wasteful number, since it uses less digits than its factorization.

53824212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517 (or 2512 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 53824212 is about 7336.4986199140. The cubic root of 53824212 is about 377.5657228084.

The spelling of 53824212 in words is "fifty-three million, eight hundred twenty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 47 52 78 94 117 141 156 188 234 282 423 468 564 611 846 1222 1692 1833 2444 2447 3666 4894 5499 7332 7341 9788 10998 14682 21996 22023 29364 31811 44046 63622 88092 95433 115009 127244 190866 230018 286299 345027 381732 460036 572598 690054 1035081 1145196 1380108 1495117 2070162 2990234 4140324 4485351 5980468 8970702 13456053 17941404 26912106 53824212