Search a number
-
+
4885840 = 245157389
BaseRepresentation
bin10010101000110101010000
3100012020010001
4102220311100
52222321330
6252415344
756346301
oct22506520
910166101
104885840
112837893
121777554
131020b3b
149127a8
156679ca
hex4a8d50

4885840 has 40 divisors (see below), whose sum is σ = 11461320. Its totient is φ = 1936896.

The previous prime is 4885823. The next prime is 4885843. The reversal of 4885840 is 485884.

4885840 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 4857616 = 168^2 + 2204^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 4885840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4885843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12366 + ... + 12754.

It is an arithmetic number, because the mean of its divisors is an integer number (286533).

Almost surely, 24885840 is an apocalyptic number.

4885840 is a gapful number since it is divisible by the number (40) 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 4885840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5730660).

4885840 is an abundant number, since it is smaller than the sum of its proper divisors (6575480).

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

4885840 is a wasteful number, since it uses less digits than its factorization.

4885840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 37.

The square root of 4885840 is about 2210.3936301030. The cubic root of 4885840 is about 169.6861568301.

It can be divided in two parts, 488 and 5840, that added together give a triangular number (6328 = T112).

The spelling of 4885840 in words is "four million, eight hundred eighty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 314 389 628 778 785 1256 1556 1570 1945 2512 3112 3140 3890 6224 6280 7780 12560 15560 31120 61073 122146 244292 305365 488584 610730 977168 1221460 2442920 4885840