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4856900 = 2252172857
BaseRepresentation
bin10010100001110001000100
3100010202102012
4102201301010
52220410100
6252033352
756166026
oct22416104
910122365
104856900
112818074
121762858
131010909
14906016
1565e135
hex4a1c44

4856900 has 36 divisors (see below), whose sum is σ = 11163348. Its totient is φ = 1827840.

The previous prime is 4856899. The next prime is 4856903. The reversal of 4856900 is 96584.

It can be written as a sum of positive squares in 6 ways, for example, as 43264 + 4813636 = 208^2 + 2194^2 .

It is a super-2 number, since 2×48569002 = 47178955220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4856903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 272 + ... + 3128.

It is an arithmetic number, because the mean of its divisors is an integer number (310093).

Almost surely, 24856900 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 4856900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5581674).

4856900 is an abundant number, since it is smaller than the sum of its proper divisors (6306448).

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

4856900 is a wasteful number, since it uses less digits than its factorization.

4856900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 4856900 is about 2203.8375620721. The cubic root of 4856900 is about 169.3504625792.

The spelling of 4856900 in words is "four million, eight hundred fifty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 2857 5714 11428 14285 28570 48569 57140 71425 97138 142850 194276 242845 285700 485690 971380 1214225 2428450 4856900