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52785420 = 22351922437
BaseRepresentation
bin1100100101011…
…1000100001100
310200022202222120
43021113010030
5102003113140
65123212540
71210445232
oct311270414
9120282876
1052785420
1127883516
1215817150
13ac2219c
147020952
15497a1d0
hex325710c

52785420 has 72 divisors (see below), whose sum is σ = 156051504. Its totient is φ = 13329792.

The previous prime is 52785419. The next prime is 52785433. The reversal of 52785420 is 2458725.

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 23 ways as a sum of consecutive naturals, for example, 20442 + ... + 22878.

It is an arithmetic number, because the mean of its divisors is an integer number (2167382).

Almost surely, 252785420 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 52785420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78025752).

52785420 is an abundant number, since it is smaller than the sum of its proper divisors (103266084).

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

52785420 is a wasteful number, since it uses less digits than its factorization.

52785420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 52785420 is about 7265.3575273348. The cubic root of 52785420 is about 375.1209565367.

The spelling of 52785420 in words is "fifty-two million, seven hundred eighty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 361 380 570 722 1083 1140 1444 1805 2166 2437 3610 4332 4874 5415 7220 7311 9748 10830 12185 14622 21660 24370 29244 36555 46303 48740 73110 92606 138909 146220 185212 231515 277818 463030 555636 694545 879757 926060 1389090 1759514 2639271 2778180 3519028 4398785 5278542 8797570 10557084 13196355 17595140 26392710 52785420