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53840214 = 2344359131
BaseRepresentation
bin1100110101100…
…0100101010110
310202022100220000
43031120211112
5102240341324
65201552130
71222430361
oct315304526
9122270800
1053840214
1128433a4a
1216045646
13b20131c
1472170d8
154ad79c9
hex3358956

53840214 has 80 divisors (see below), whose sum is σ = 126498240. Its totient is φ = 17100720.

The previous prime is 53840203. The next prime is 53840219. The reversal of 53840214 is 41204835.

53840214 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53840219) 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 39 ways as a sum of consecutive naturals, for example, 410929 + ... + 411059.

It is an arithmetic number, because the mean of its divisors is an integer number (1581228).

Almost surely, 253840214 is an apocalyptic number.

53840214 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 53840214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63249120).

53840214 is an abundant number, since it is smaller than the sum of its proper divisors (72658026).

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

53840214 is a wasteful number, since it uses less digits than its factorization.

53840214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 238 counting only the distinct ones).

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

The square root of 53840214 is about 7337.5891135986. The cubic root of 53840214 is about 377.6031360086.

The spelling of 53840214 in words is "fifty-three million, eight hundred forty thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 43 54 59 81 86 118 129 131 162 177 258 262 354 387 393 531 774 786 1062 1161 1179 1593 2322 2358 2537 3186 3483 3537 4779 5074 5633 6966 7074 7611 7729 9558 10611 11266 15222 15458 16899 21222 22833 23187 33798 45666 46374 50697 68499 69561 101394 136998 139122 152091 205497 208683 304182 332347 410994 417366 456273 626049 664694 912546 997041 1252098 1994082 2991123 5982246 8973369 17946738 26920107 53840214