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5025384 = 2332713259
BaseRepresentation
bin10011001010111001101000
3100110022112100
4103022321220
52241303014
6255413400
760500160
oct23127150
910408470
105025384
112922711
121824260
13106c500
1494b5a0
15694009
hex4cae68

5025384 has 144 divisors (see below), whose sum is σ = 17128800. Its totient is φ = 1302912.

The previous prime is 5025373. The next prime is 5025389. The reversal of 5025384 is 4835205.

5025384 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (5025389) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 85147 + ... + 85205.

It is an arithmetic number, because the mean of its divisors is an integer number (118950).

Almost surely, 25025384 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 5025384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8564400).

5025384 is an abundant number, since it is smaller than the sum of its proper divisors (12103416).

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

5025384 is a wasteful number, since it uses less digits than its factorization.

5025384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5025384 is about 2241.7368266592. The cubic root of 5025384 is about 171.2864798765.

It can be divided in two parts, 502 and 5384, that added together give a triangular number (5886 = T108).

The spelling of 5025384 in words is "five million, twenty-five thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 59 63 72 78 84 91 104 117 118 126 156 168 169 177 182 234 236 252 273 312 338 354 364 413 468 472 504 507 531 546 676 708 728 767 819 826 936 1014 1062 1092 1183 1239 1352 1416 1521 1534 1638 1652 2028 2124 2184 2301 2366 2478 3042 3068 3276 3304 3549 3717 4056 4248 4602 4732 4956 5369 6084 6136 6552 6903 7098 7434 9204 9464 9912 9971 10647 10738 12168 13806 14196 14868 16107 18408 19942 21294 21476 27612 28392 29736 29913 32214 39884 42588 42952 48321 55224 59826 64428 69797 79768 85176 89739 96642 119652 128856 139594 179478 193284 209391 239304 279188 358956 386568 418782 558376 628173 717912 837564 1256346 1675128 2512692 5025384