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248878125 = 32558849
BaseRepresentation
bin11101101010110…
…01010000101101
3122100022022121100
432311121100231
51002203100000
640410153313
76111300126
oct1665312055
9570268540
10248878125
11118537901
126b422839
133c73bb82
14250a704d
1516cb1a00
hexed5942d

248878125 has 36 divisors (see below), whose sum is σ = 449385300. Its totient is φ = 132720000.

The previous prime is 248878121. The next prime is 248878139. The reversal of 248878125 is 521878842.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 247968009 + 910116 = 15747^2 + 954^2 .

It is not a de Polignac number, because 248878125 - 22 = 248878121 is a prime.

It is a super-2 number, since 2×2488781252 = 123880642207031250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248878121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23701 + ... + 32549.

It is an arithmetic number, because the mean of its divisors is an integer number (12482925).

Almost surely, 2248878125 is an apocalyptic number.

248878125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

248878125 is a deficient number, since it is larger than the sum of its proper divisors (200507175).

248878125 is an frugal number, since it uses more digits than its factorization.

248878125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8880 (or 8857 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The square root of 248878125 is about 15775.8716082504. The cubic root of 248878125 is about 629.0167959233.

The spelling of 248878125 in words is "two hundred forty-eight million, eight hundred seventy-eight thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1875 3125 5625 8849 9375 26547 28125 44245 79641 132735 221225 398205 663675 1106125 1991025 3318375 5530625 9955125 16591875 27653125 49775625 82959375 248878125