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52770096 = 24332347113
BaseRepresentation
bin1100100101001…
…1010100110000
310200021222222000
43021103110300
5102002120341
65123014000
71210352451
oct311232460
9120258860
1052770096
1127872a55
121580a300
13ac18212
147019128
1549758b6
hex3253530

52770096 has 160 divisors (see below), whose sum is σ = 162846720. Its totient is φ = 16321536.

The previous prime is 52770077. The next prime is 52770101. The reversal of 52770096 is 69007725.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 52770096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466936 + ... + 467048.

It is an arithmetic number, because the mean of its divisors is an integer number (1017792).

Almost surely, 252770096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52770096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81423360).

52770096 is an abundant number, since it is smaller than the sum of its proper divisors (110076624).

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

52770096 is a wasteful number, since it uses less digits than its factorization.

52770096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 52770096 is about 7264.3028571226. The cubic root of 52770096 is about 375.0846528889.

The spelling of 52770096 in words is "fifty-two million, seven hundred seventy thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 47 48 54 69 72 92 94 108 113 138 141 144 184 188 207 216 226 276 282 339 368 376 414 423 432 452 552 564 621 678 752 828 846 904 1017 1081 1104 1128 1242 1269 1356 1656 1692 1808 2034 2162 2256 2484 2538 2599 2712 3051 3243 3312 3384 4068 4324 4968 5076 5198 5311 5424 6102 6486 6768 7797 8136 8648 9729 9936 10152 10396 10622 12204 12972 15594 15933 16272 17296 19458 20304 20792 21244 23391 24408 25944 29187 31188 31866 38916 41584 42488 46782 47799 48816 51888 58374 62376 63732 70173 77832 84976 93564 95598 116748 122153 124752 127464 140346 143397 155664 187128 191196 233496 244306 254928 280692 286794 366459 374256 382392 466992 488612 561384 573588 732918 764784 977224 1099377 1122768 1147176 1465836 1954448 2198754 2294352 2931672 3298131 4397508 5863344 6596262 8795016 13192524 17590032 26385048 52770096