Search a number
-
+
554242400 = 25521136131
BaseRepresentation
bin100001000010010…
…001000101100000
31102121220102122022
4201002101011200
52113341224100
6130555201012
716506661025
oct4102210540
91377812568
10554242400
11264945578
12135746168
138aa974aa
145387554c
15339cee85
hex21091160

554242400 has 72 divisors (see below), whose sum is σ = 1365240744. Its totient is φ = 219699200.

The previous prime is 554242393. The next prime is 554242411. The reversal of 554242400 is 4242455.

It is a self number, because there is not a number n which added to its sum of digits gives 554242400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87335 + ... + 93465.

It is an arithmetic number, because the mean of its divisors is an integer number (18961677).

Almost surely, 2554242400 is an apocalyptic number.

554242400 is a gapful number since it is divisible by the number (50) 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 554242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682620372).

554242400 is an abundant number, since it is smaller than the sum of its proper divisors (810998344).

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

554242400 is a wasteful number, since it uses less digits than its factorization.

554242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6264 (or 6251 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 554242400 is about 23542.3533233192. The cubic root of 554242400 is about 821.4224764333.

Adding to 554242400 its reverse (4242455), we get a palindrome (558484855).

Subtracting from 554242400 its reverse (4242455), we obtain a palindrome (549999945).

The spelling of 554242400 in words is "five hundred fifty-four million, two hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 113 160 200 226 400 452 565 800 904 1130 1808 2260 2825 3616 4520 5650 6131 9040 11300 12262 18080 22600 24524 30655 45200 49048 61310 90400 98096 122620 153275 196192 245240 306550 490480 613100 692803 980960 1226200 1385606 2452400 2771212 3464015 4904800 5542424 6928030 11084848 13856060 17320075 22169696 27712120 34640150 55424240 69280300 110848480 138560600 277121200 554242400