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248425120 = 2551552657
BaseRepresentation
bin11101100111010…
…10101010100000
3122022110022012101
432303222222200
51002044100440
640352340144
76104402326
oct1663525240
9568408171
10248425120
11118258519
126b244654
133c610918
1424dc9d16
1516c2269a
hexeceaaa0

248425120 has 24 divisors (see below), whose sum is σ = 586904724. Its totient is φ = 99369984.

The previous prime is 248425117. The next prime is 248425129. The reversal of 248425120 is 21524842.

248425120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 247495824 + 929296 = 15732^2 + 964^2 .

It is not an unprimeable number, because it can be changed into a prime (248425129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 776169 + ... + 776488.

Almost surely, 2248425120 is an apocalyptic number.

248425120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248425120 is an abundant number, since it is smaller than the sum of its proper divisors (338479604).

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

248425120 is a wasteful number, since it uses less digits than its factorization.

248425120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552672 (or 1552664 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 248425120 is about 15761.5075421103. The cubic root of 248425120 is about 628.6349211739.

Adding to 248425120 its reverse (21524842), we get a palindrome (269949962).

The spelling of 248425120 in words is "two hundred forty-eight million, four hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1552657 3105314 6210628 7763285 12421256 15526570 24842512 31053140 49685024 62106280 124212560 248425120