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5021856 = 253274753
BaseRepresentation
bin10011001010000010100000
3100110010200200
4103022002200
52241144411
6255345200
760453660
oct23120240
910403620
105021856
11291aaa4
121822200
13106aa18
1494a1a0
15692e56
hex4ca0a0

5021856 has 144 divisors (see below), whose sum is σ = 16982784. Its totient is φ = 1377792.

The previous prime is 5021837. The next prime is 5021869. The reversal of 5021856 is 6581205.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94726 + ... + 94778.

It is an arithmetic number, because the mean of its divisors is an integer number (117936).

Almost surely, 25021856 is an apocalyptic number.

5021856 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 5021856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8491392).

5021856 is an abundant number, since it is smaller than the sum of its proper divisors (11960928).

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

5021856 is a wasteful number, since it uses less digits than its factorization.

5021856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5021856 is about 2240.9497986345. The cubic root of 5021856 is about 171.2463874067.

The spelling of 5021856 in words is "five million, twenty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 47 48 53 56 63 72 84 94 96 106 112 126 141 144 159 168 188 212 224 252 282 288 318 329 336 371 376 423 424 477 504 564 636 658 672 742 752 846 848 954 987 1008 1113 1128 1272 1316 1484 1504 1692 1696 1908 1974 2016 2226 2256 2491 2544 2632 2961 2968 3339 3384 3816 3948 4452 4512 4982 5088 5264 5922 5936 6678 6768 7473 7632 7896 8904 9964 10528 11844 11872 13356 13536 14946 15264 15792 17437 17808 19928 22419 23688 26712 29892 31584 34874 35616 39856 44838 47376 52311 53424 59784 69748 79712 89676 94752 104622 106848 119568 139496 156933 179352 209244 239136 278992 313866 358704 418488 557984 627732 717408 836976 1255464 1673952 2510928 5021856