Search a number
-
+
4839264 = 25341867
BaseRepresentation
bin10010011101011101100000
3100002212020000
4102131131200
52214324024
6251420000
756063433
oct22353540
910085200
104839264
1128058a1
121754600
131005891
148dd81a
15658cc9
hex49d760

4839264 has 60 divisors (see below), whose sum is σ = 14239764. Its totient is φ = 1612224.

The previous prime is 4839257. The next prime is 4839283. The reversal of 4839264 is 4629384.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 43 + 83 + 314 + 94 + 215 + 6 + 47 .

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 1659 + ... + 3525.

Almost surely, 24839264 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 4839264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7119882).

4839264 is an abundant number, since it is smaller than the sum of its proper divisors (9400500).

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

4839264 is a wasteful number, since it uses less digits than its factorization.

4839264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1872 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 4839264 is about 2199.8327209131. The cubic root of 4839264 is about 169.1452365400.

The spelling of 4839264 in words is "four million, eight hundred thirty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 1867 2592 3734 5601 7468 11202 14936 16803 22404 29872 33606 44808 50409 59744 67212 89616 100818 134424 151227 179232 201636 268848 302454 403272 537696 604908 806544 1209816 1613088 2419632 4839264