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5925245040 = 24335111319183
BaseRepresentation
bin1011000010010110…
…00001000001110000
3120021221101122011000
411201023001001300
544113330320130
62415542322000
7266555515611
oct54113010160
916257348130
105925245040
112570712330
121194429300
13735753b70
14402d0dc08
1524a2bd260
hex1612c1070

5925245040 has 320 divisors, whose sum is σ = 23978465280. Its totient is φ = 1325859840.

The previous prime is 5925245023. The next prime is 5925245041. The reversal of 5925245040 is 405425295.

5925245040 is a `hidden beast` number, since 5 + 92 + 524 + 5 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5925244986 and 5925245004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5925245041) 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 63 ways as a sum of consecutive naturals, for example, 299289 + ... + 318471.

It is an arithmetic number, because the mean of its divisors is an integer number (74932704).

Almost surely, 25925245040 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 5925245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11989232640).

5925245040 is an abundant number, since it is smaller than the sum of its proper divisors (18053220240).

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

5925245040 is a wasteful number, since it uses less digits than its factorization.

5925245040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19229 (or 19217 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5925245040 is about 76975.6132810905. The cubic root of 5925245040 is about 1809.5424339137.

The spelling of 5925245040 in words is "five billion, nine hundred twenty-five million, two hundred forty-five thousand, forty".