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5025431808 = 28342961137
BaseRepresentation
bin1001010111000101…
…00000000100000000
3110222020020101110000
410223202200010000
540243002304213
62150400240000
7235351315455
oct45342400400
913866211400
105025431808
1121497a8331
12b83010000
136211c44b7
1435960182c
151e62cbc73
hex12b8a0100

5025431808 has 360 divisors, whose sum is σ = 15870781080. Its totient is φ = 1579253760.

The previous prime is 5025431791. The next prime is 5025431813. The reversal of 5025431808 is 8081345205.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 107495424 + 4917936384 = 10368^2 + 70128^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36681916 + ... + 36682052.

It is an arithmetic number, because the mean of its divisors is an integer number (44085503).

Almost surely, 25025431808 is an apocalyptic number.

5025431808 is a gapful number since it is divisible by the number (58) 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 5025431808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7935390540).

5025431808 is an abundant number, since it is smaller than the sum of its proper divisors (10845349272).

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

5025431808 is a wasteful number, since it uses less digits than its factorization.

5025431808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5025431808 is about 70890.2800671573. The cubic root of 5025431808 is about 1712.8702304153.

The spelling of 5025431808 in words is "five billion, twenty-five million, four hundred thirty-one thousand, eight hundred eight".