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53205174 = 2341173409
BaseRepresentation
bin1100101011110…
…1100010110110
310201010002210000
43022331202312
5102110031144
65140212130
71214144061
oct312754266
9121102700
1053205174
112803a920
121599a046
13b03b269
1470cd8d8
154a0e769
hex32bd8b6

53205174 has 80 divisors (see below), whose sum is σ = 132161040. Its totient is φ = 15863040.

The previous prime is 53205161. The next prime is 53205181. The reversal of 53205174 is 47150235.

It is a happy number.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 129882 + ... + 130290.

It is an arithmetic number, because the mean of its divisors is an integer number (1652013).

Almost surely, 253205174 is an apocalyptic number.

53205174 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 53205174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66080520).

53205174 is an abundant number, since it is smaller than the sum of its proper divisors (78955866).

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

53205174 is a wasteful number, since it uses less digits than its factorization.

53205174 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 53205174 is about 7294.1876860964. The cubic root of 53205174 is about 376.1126633489.

The spelling of 53205174 in words is "fifty-three million, two hundred five thousand, one hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 73 81 99 146 162 198 219 297 409 438 594 657 803 818 891 1227 1314 1606 1782 1971 2409 2454 3681 3942 4499 4818 5913 7227 7362 8998 11043 11826 13497 14454 21681 22086 26994 29857 33129 40491 43362 59714 65043 66258 80982 89571 121473 130086 179142 242946 268713 328427 364419 537426 656854 728838 806139 985281 1612278 1970562 2418417 2955843 4836834 5911686 8867529 17735058 26602587 53205174