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4894100 = 2252109449
BaseRepresentation
bin10010101010110110010100
3100012122102222
4102222312110
52223102400
6252521512
756412341
oct22526624
910178388
104894100
112843012
121780298
131024823
149157c8
1566a185
hex4aad94

4894100 has 36 divisors (see below), whose sum is σ = 10741500. Its totient is φ = 1935360.

The previous prime is 4894093. The next prime is 4894103. The reversal of 4894100 is 14984.

It can be written as a sum of positive squares in 6 ways, for example, as 1156 + 4892944 = 34^2 + 2212^2 .

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4894100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4894103) 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, 10676 + ... + 11124.

It is an arithmetic number, because the mean of its divisors is an integer number (298375).

Almost surely, 24894100 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 4894100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370750).

4894100 is an abundant number, since it is smaller than the sum of its proper divisors (5847400).

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

4894100 is a wasteful number, since it uses less digits than its factorization.

4894100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 4894100 is about 2212.2612865573. The cubic root of 4894100 is about 169.7817267863.

It can be divided in two parts, 4894 and 100, that added together give a palindrome (4994).

The spelling of 4894100 in words is "four million, eight hundred ninety-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 436 449 545 898 1090 1796 2180 2245 2725 4490 5450 8980 10900 11225 22450 44900 48941 97882 195764 244705 489410 978820 1223525 2447050 4894100