Search a number
-
+
4982016 = 28313499
BaseRepresentation
bin10011000000010100000000
3100101010001010
4103000110000
52233411031
6254440520
760226554
oct23002400
910333033
104982016
1128a3076
121803140
131055850
14939864
15686246
hex4c0500

4982016 has 72 divisors (see below), whose sum is σ = 14308000. Its totient is φ = 1529856.

The previous prime is 4982011. The next prime is 4982039. The reversal of 4982016 is 6102894.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4982011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9735 + ... + 10233.

Almost surely, 24982016 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 4982016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7154000).

4982016 is an abundant number, since it is smaller than the sum of its proper divisors (9325984).

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

4982016 is a wasteful number, since it uses less digits than its factorization.

4982016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 4982016 is about 2232.0430103383. The cubic root of 4982016 is about 170.7923336602.

The spelling of 4982016 in words is "four million, nine hundred eighty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 499 624 768 832 998 1248 1497 1664 1996 2496 2994 3328 3992 4992 5988 6487 7984 9984 11976 12974 15968 19461 23952 25948 31936 38922 47904 51896 63872 77844 95808 103792 127744 155688 191616 207584 311376 383232 415168 622752 830336 1245504 1660672 2491008 4982016