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52127064 = 23341171103
BaseRepresentation
bin1100011011011…
…0010101011000
310122002022220000
43012312111120
5101321031224
65101133000
71202033643
oct306662530
9118068800
1052127064
1127473920
121555a160
13aa51622
146ccca5a
15489a0c9
hex31b6558

52127064 has 160 divisors (see below), whose sum is σ = 163088640. Its totient is φ = 15422400.

The previous prime is 52127057. The next prime is 52127087. The reversal of 52127064 is 46072125.

52127064 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 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 39 ways as a sum of consecutive naturals, for example, 506037 + ... + 506139.

It is an arithmetic number, because the mean of its divisors is an integer number (1019304).

Almost surely, 252127064 is an apocalyptic number.

52127064 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 52127064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81544320).

52127064 is an abundant number, since it is smaller than the sum of its proper divisors (110961576).

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

52127064 is a wasteful number, since it uses less digits than its factorization.

52127064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 52127064 is about 7219.9074786316. The cubic root of 52127064 is about 373.5548862099.

Adding to 52127064 its reverse (46072125), we get a palindrome (98199189).

The spelling of 52127064 in words is "fifty-two million, one hundred twenty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 71 72 81 88 99 103 108 132 142 162 198 206 213 216 264 284 297 309 324 396 412 426 568 594 618 639 648 781 792 824 852 891 927 1133 1188 1236 1278 1562 1704 1782 1854 1917 2266 2343 2376 2472 2556 2781 3124 3399 3564 3708 3834 4532 4686 5112 5562 5751 6248 6798 7029 7128 7313 7416 7668 8343 9064 9372 10197 11124 11502 13596 14058 14626 15336 16686 18744 20394 21087 21939 22248 23004 27192 28116 29252 30591 33372 40788 42174 43878 46008 56232 58504 61182 63261 65817 66744 80443 81576 84348 87756 91773 122364 126522 131634 160886 168696 175512 183546 197451 241329 244728 253044 263268 321772 367092 394902 482658 506088 526536 592353 643544 723987 734184 789804 965316 1184706 1447974 1579608 1930632 2171961 2369412 2895948 4343922 4738824 5791896 6515883 8687844 13031766 17375688 26063532 52127064