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5021984 = 251121297
BaseRepresentation
bin10011001010000100100000
3100110010212102
4103022010200
52241200414
6255345532
760454232
oct23120440
910403772
105021984
112920100
1218222a8
13106aab6
1494a252
15692ede
hex4ca120

5021984 has 36 divisors (see below), whose sum is σ = 10875942. Its totient is φ = 2280960.

The previous prime is 5021983. The next prime is 5021999. The reversal of 5021984 is 4891205.

It can be written as a sum of positive squares in only one way, i.e., 2650384 + 2371600 = 1628^2 + 1540^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5021983) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 3224 + ... + 4520.

Almost surely, 25021984 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 5021984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5437971).

5021984 is an abundant number, since it is smaller than the sum of its proper divisors (5853958).

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

5021984 is a wasteful number, since it uses less digits than its factorization.

5021984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 5021984 is about 2240.9783577714. The cubic root of 5021984 is about 171.2478423370.

The spelling of 5021984 in words is "five million, twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1297 1936 2594 3872 5188 10376 14267 20752 28534 41504 57068 114136 156937 228272 313874 456544 627748 1255496 2510992 5021984