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52780896 = 253472909
BaseRepresentation
bin1100100101010…
…1111101100000
310200022112210000
43021111331200
5102002442041
65123140000
71210426110
oct311257540
9120275700
1052780896
1127880083
1215814600
13ac200cc
14701d040
154978bb6
hex3255f60

52780896 has 120 divisors (see below), whose sum is σ = 177463440. Its totient is φ = 15075072.

The previous prime is 52780891. The next prime is 52780919. The reversal of 52780896 is 69808725.

52780896 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 (52780891) 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 19 ways as a sum of consecutive naturals, for example, 16690 + ... + 19598.

It is an arithmetic number, because the mean of its divisors is an integer number (1478862).

Almost surely, 252780896 is an apocalyptic number.

52780896 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 52780896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88731720).

52780896 is an abundant number, since it is smaller than the sum of its proper divisors (124682544).

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

52780896 is a wasteful number, since it uses less digits than its factorization.

52780896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 52780896 is about 7265.0461801698. The cubic root of 52780896 is about 375.1102395894.

The spelling of 52780896 in words is "fifty-two million, seven hundred eighty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 2909 3024 4536 5818 6048 8727 9072 11636 17454 18144 20363 23272 26181 34908 40726 46544 52362 61089 69816 78543 81452 93088 104724 122178 139632 157086 162904 183267 209448 235629 244356 279264 314172 325808 366534 418896 471258 488712 549801 628344 651616 733068 837792 942516 977424 1099602 1256688 1466136 1649403 1885032 1954848 2199204 2513376 2932272 3298806 3770064 4398408 5864544 6597612 7540128 8796816 13195224 17593632 26390448 52780896