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4879314 = 23211191297
BaseRepresentation
bin10010100111001111010010
3100011220011100
4102213033102
52222114224
6252325230
756321256
oct22471722
910156140
104879314
1128329a0
121773816
13101ab8b
14910266
15665ac9
hex4a73d2

4879314 has 48 divisors (see below), whose sum is σ = 12149280. Its totient is φ = 1399680.

The previous prime is 4879313. The next prime is 4879319. The reversal of 4879314 is 4139784.

It is a happy number.

4879314 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×48793142 = 47615410221192, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 46 + 8 + 75 + 95 + 314 + 1 + 47 .

It is not an unprimeable number, because it can be changed into a prime (4879313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3114 + ... + 4410.

It is an arithmetic number, because the mean of its divisors is an integer number (253110).

Almost surely, 24879314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4879314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6074640).

4879314 is an abundant number, since it is smaller than the sum of its proper divisors (7269966).

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

4879314 is a wasteful number, since it uses less digits than its factorization.

4879314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1332 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 4879314 is about 2208.9169291759. The cubic root of 4879314 is about 169.6105734256.

It can be divided in two parts, 487 and 9314, that added together give a square (9801 = 992).

The spelling of 4879314 in words is "four million, eight hundred seventy-nine thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1297 1881 2594 3762 3891 7782 11673 14267 23346 24643 28534 42801 49286 73929 85602 128403 147858 221787 256806 271073 443574 542146 813219 1626438 2439657 4879314