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52779384 = 2333767521
BaseRepresentation
bin1100100101010…
…1100101111000
310200022110201000
43021111211320
5102002420014
65123125000
71210421520
oct311254570
9120273630
1052779384
1127879a29
1215813760
13ac1c508
14701c680
154978509
hex3255978

52779384 has 128 divisors (see below), whose sum is σ = 170380800. Its totient is φ = 14826240.

The previous prime is 52779383. The next prime is 52779413. The reversal of 52779384 is 48397725.

52779384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52779383) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 101044 + ... + 101564.

It is an arithmetic number, because the mean of its divisors is an integer number (1331100).

Almost surely, 252779384 is an apocalyptic number.

52779384 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 52779384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85190400).

52779384 is an abundant number, since it is smaller than the sum of its proper divisors (117601416).

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

52779384 is a wasteful number, since it uses less digits than its factorization.

52779384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 600 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 52779384 is about 7264.9421195217. The cubic root of 52779384 is about 375.1066576615.

The spelling of 52779384 in words is "fifty-two million, seven hundred seventy-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 67 72 84 108 126 134 168 189 201 216 252 268 378 402 469 504 521 536 603 756 804 938 1042 1206 1407 1512 1563 1608 1809 1876 2084 2412 2814 3126 3618 3647 3752 4168 4221 4689 4824 5628 6252 7236 7294 8442 9378 10941 11256 12504 12663 14067 14472 14588 16884 18756 21882 25326 28134 29176 32823 33768 34907 37512 43764 50652 56268 65646 69814 87528 98469 101304 104721 112536 131292 139628 196938 209442 244349 262584 279256 314163 393876 418884 488698 628326 733047 787752 837768 942489 977396 1256652 1466094 1884978 1954792 2199141 2513304 2932188 3769956 4398282 5864376 6597423 7539912 8796564 13194846 17593128 26389692 52779384