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4861829 = 72313317
BaseRepresentation
bin10010100010111110000101
3100011000011202
4102202332011
52221034304
6252112245
756216300
oct22427605
910130152
104861829
112820845
121765685
131012c2b
14907b37
1566081e
hex4a2f85

4861829 has 12 divisors (see below), whose sum is σ = 5691564. Its totient is φ = 4140864.

The previous prime is 4861811. The next prime is 4861859. The reversal of 4861829 is 9281684.

It can be written as a sum of positive squares in 2 ways, for example, as 122500 + 4739329 = 350^2 + 2177^2 .

It is not a de Polignac number, because 4861829 - 28 = 4861573 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4861792 and 4861801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4861859) 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 11 ways as a sum of consecutive naturals, for example, 15179 + ... + 15495.

It is an arithmetic number, because the mean of its divisors is an integer number (474297).

Almost surely, 24861829 is an apocalyptic number.

4861829 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

4861829 is a deficient number, since it is larger than the sum of its proper divisors (829735).

4861829 is a wasteful number, since it uses less digits than its factorization.

4861829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 637 counting only the distinct ones).

The product of its digits is 27648, while the sum is 38.

The square root of 4861829 is about 2204.9555551076. The cubic root of 4861829 is about 169.4077313595.

The spelling of 4861829 in words is "four million, eight hundred sixty-one thousand, eight hundred twenty-nine".

Divisors: 1 7 49 313 317 2191 2219 15337 15533 99221 694547 4861829