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507283056 = 243271732909
BaseRepresentation
bin11110001111001…
…000011001110000
31022100112122112100
4132033020121300
52014331024211
6122200500400
715366556230
oct3617103160
91270478470
10507283056
112403912a5
12121a7a700
13811350b7
144b52dcc0
152e806156
hex1e3c8670

507283056 has 120 divisors (see below), whose sum is σ = 1632440160. Its totient is φ = 144050688.

The previous prime is 507283031. The next prime is 507283081. The reversal of 507283056 is 650382705.

It is an interprime number because it is at equal distance from previous prime (507283031) and next prime (507283081).

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 507283056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172930 + ... + 175838.

It is an arithmetic number, because the mean of its divisors is an integer number (13603668).

Almost surely, 2507283056 is an apocalyptic number.

507283056 is a gapful number since it is divisible by the number (56) 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 507283056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816220080).

507283056 is an abundant number, since it is smaller than the sum of its proper divisors (1125157104).

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

507283056 is a wasteful number, since it uses less digits than its factorization.

507283056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3103 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 507283056 is about 22522.9451004970. The cubic root of 507283056 is about 797.5356750058.

The spelling of 507283056 in words is "five hundred seven million, two hundred eighty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 173 252 336 346 504 519 692 1008 1038 1211 1384 1557 2076 2422 2768 2909 3114 3633 4152 4844 5818 6228 7266 8304 8727 9688 10899 11636 12456 14532 17454 19376 20363 21798 23272 24912 26181 29064 34908 40726 43596 46544 52362 58128 61089 69816 81452 87192 104724 122178 139632 162904 174384 183267 209448 244356 325808 366534 418896 488712 503257 733068 977424 1006514 1466136 1509771 2013028 2932272 3019542 3522799 4026056 4529313 6039084 7045598 8052112 9058626 10568397 12078168 14091196 18117252 21136794 24156336 28182392 31705191 36234504 42273588 56364784 63410382 72469008 84547176 126820764 169094352 253641528 507283056