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4890312 = 2332731313
BaseRepresentation
bin10010101001111011001000
3100012110020200
4102221323020
52222442222
6252452200
756365320
oct22517310
910173220
104890312
112840189
12177a060
131022b9b
14914280
15668eac
hex4a9ec8

4890312 has 96 divisors (see below), whose sum is σ = 15674880. Its totient is φ = 1347840.

The previous prime is 4890311. The next prime is 4890323. The reversal of 4890312 is 2130984.

4890312 is nontrivially palindromic in base 5.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (4890311) 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 23 ways as a sum of consecutive naturals, for example, 15468 + ... + 15780.

It is an arithmetic number, because the mean of its divisors is an integer number (163280).

Almost surely, 24890312 is an apocalyptic number.

4890312 is a gapful number since it is divisible by the number (42) 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 4890312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7837440).

4890312 is an abundant number, since it is smaller than the sum of its proper divisors (10784568).

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

4890312 is a wasteful number, since it uses less digits than its factorization.

4890312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4890312 is about 2211.4049832629. The cubic root of 4890312 is about 169.7379121810.

The spelling of 4890312 in words is "four million, eight hundred ninety thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 313 372 434 504 558 626 651 744 868 939 1116 1252 1302 1736 1878 1953 2191 2232 2504 2604 2817 3756 3906 4382 5208 5634 6573 7512 7812 8764 9703 11268 13146 15624 17528 19406 19719 22536 26292 29109 38812 39438 52584 58218 67921 77624 78876 87327 116436 135842 157752 174654 203763 232872 271684 349308 407526 543368 611289 698616 815052 1222578 1630104 2445156 4890312