Search a number
-
+
625511040 = 27357114231
BaseRepresentation
bin100101010010001…
…000101010000000
31121121000020211120
4211102020222000
52240112323130
6142022512240
721333520230
oct4522105200
91547006746
10625511040
112a10a2780
12155595680
139c78b59b
145d107cc0
1539dab910
hex25488a80

625511040 has 256 divisors, whose sum is σ = 2486384640. Its totient is φ = 129945600.

The previous prime is 625511009. The next prime is 625511041. The reversal of 625511040 is 40115526.

It is a super-2 number, since 2×6255110402 = 782528122323763200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 625511040.

It is not an unprimeable number, because it can be changed into a prime (625511041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145725 + ... + 149955.

It is an arithmetic number, because the mean of its divisors is an integer number (9712440).

Almost surely, 2625511040 is an apocalyptic number.

625511040 is a gapful number since it is divisible by the number (60) 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 625511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243192320).

625511040 is an abundant number, since it is smaller than the sum of its proper divisors (1860873600).

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

625511040 is a wasteful number, since it uses less digits than its factorization.

625511040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4271 (or 4259 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 625511040 is about 25010.2187115587. The cubic root of 625511040 is about 855.2209408156.

Adding to 625511040 its reverse (40115526), we get a palindrome (665626566).

The spelling of 625511040 in words is "six hundred twenty-five million, five hundred eleven thousand, forty".