Search a number
-
+
554413440 = 2735727183
BaseRepresentation
bin100001000010111…
…010110110000000
31102122020010021010
4201002322312000
52113412212230
6131003000520
716511302500
oct4102726600
91378203233
10554413440
11264a52029
12135809140
138ab272b9
14538bba00
1533a159b0
hex210bad80

554413440 has 384 divisors, whose sum is σ = 2109784320. Its totient is φ = 123432960.

The previous prime is 554413429. The next prime is 554413441. The reversal of 554413440 is 44314455.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 554413398 and 554413407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (554413441) 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 47 ways as a sum of consecutive naturals, for example, 6679639 + ... + 6679721.

It is an arithmetic number, because the mean of its divisors is an integer number (5494230).

Almost surely, 2554413440 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 554413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054892160).

554413440 is an abundant number, since it is smaller than the sum of its proper divisors (1555370880).

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

554413440 is a wasteful number, since it uses less digits than its factorization.

554413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 554413440 is about 23545.9856451158. The cubic root of 554413440 is about 821.5069651278.

Adding to 554413440 its reverse (44314455), we get a palindrome (598727895).

The spelling of 554413440 in words is "five hundred fifty-four million, four hundred thirteen thousand, four hundred forty".