Search a number
-
+
53539164 = 22337267151
BaseRepresentation
bin1100110000111…
…1000101011100
310201202001221000
43030033011130
5102201223124
65151310300
71220034600
oct314170534
9121661830
1053539164
1128248848
1215b1b390
13b1272a3
147179500
154a786c9
hex330f15c

53539164 has 144 divisors (see below), whose sum is σ = 164962560. Its totient is φ = 14968800.

The previous prime is 53539141. The next prime is 53539177. The reversal of 53539164 is 46193535.

53539164 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 (36).

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 47 ways as a sum of consecutive naturals, for example, 354489 + ... + 354639.

Almost surely, 253539164 is an apocalyptic number.

53539164 is a gapful number since it is divisible by the number (54) 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 53539164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82481280).

53539164 is an abundant number, since it is smaller than the sum of its proper divisors (111423396).

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

53539164 is a wasteful number, since it uses less digits than its factorization.

53539164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 230 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 53539164 is about 7317.0461253159. The cubic root of 53539164 is about 376.8980251273.

The spelling of 53539164 in words is "fifty-three million, five hundred thirty-nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 67 84 98 108 126 134 147 151 189 196 201 252 268 294 302 378 402 441 453 469 588 603 604 756 804 882 906 938 1057 1206 1323 1359 1407 1764 1809 1812 1876 2114 2412 2646 2718 2814 3171 3283 3618 4077 4221 4228 5292 5436 5628 6342 6566 7236 7399 8154 8442 9513 9849 10117 12663 12684 13132 14798 16308 16884 19026 19698 20234 22197 25326 28539 29547 29596 30351 38052 39396 40468 44394 50652 57078 59094 60702 66591 70819 88641 88788 91053 114156 118188 121404 133182 141638 177282 182106 199773 212457 266364 273159 283276 354564 364212 399546 424914 495733 546318 637371 799092 849828 991466 1092636 1274742 1487199 1912113 1982932 2549484 2974398 3824226 4461597 5948796 7648452 8923194 13384791 17846388 26769582 53539164