Search a number
-
+
4558240 = 25531919
BaseRepresentation
bin10001011000110110100000
322120120201201
4101120312200
52131330430
6241410544
753513221
oct21306640
98516651
104558240
112633745
121639a54
13c379ab
14869248
156008ca
hex458da0

4558240 has 48 divisors (see below), whose sum is σ = 11128320. Its totient is φ = 1762560.

The previous prime is 4558217. The next prime is 4558243. The reversal of 4558240 is 428554.

It is a junction number, because it is equal to n+sod(n) for n = 4558199 and 4558208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4558243) 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, 4501 + ... + 5419.

It is an arithmetic number, because the mean of its divisors is an integer number (231840).

Almost surely, 24558240 is an apocalyptic number.

4558240 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 4558240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5564160).

4558240 is an abundant number, since it is smaller than the sum of its proper divisors (6570080).

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

4558240 is a wasteful number, since it uses less digits than its factorization.

4558240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 4558240 is about 2135.0035128777. The cubic root of 4558240 is about 165.8055496383.

It can be divided in two parts, 45 and 58240, that added together give a palindrome (58285).

The spelling of 4558240 in words is "four million, five hundred fifty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 919 992 1240 1838 2480 3676 4595 4960 7352 9190 14704 18380 28489 29408 36760 56978 73520 113956 142445 147040 227912 284890 455824 569780 911648 1139560 2279120 4558240