Search a number
-
+
574487040 = 29351931127
BaseRepresentation
bin100010001111011…
…111101000000000
31111000222222001210
4202033133220000
52134032041130
6133001130120
720144026221
oct4217375000
91430888053
10574487040
11275312686
12140489940
139203507a
1456425248
153567d5b0
hex223dfa00

574487040 has 320 divisors, whose sum is σ = 2011299840. Its totient is φ = 139345920.

The previous prime is 574487029. The next prime is 574487041. The reversal of 574487040 is 40784475.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 574487040.

It is not an unprimeable number, because it can be changed into a prime (574487041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4523457 + ... + 4523583.

It is an arithmetic number, because the mean of its divisors is an integer number (6285312).

Almost surely, 2574487040 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 574487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005649920).

574487040 is an abundant number, since it is smaller than the sum of its proper divisors (1436812800).

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

574487040 is a wasteful number, since it uses less digits than its factorization.

574487040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 39.

The square root of 574487040 is about 23968.4592746384. The cubic root of 574487040 is about 831.3043988746.

The spelling of 574487040 in words is "five hundred seventy-four million, four hundred eighty-seven thousand, forty".