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248423040 = 27325174359
BaseRepresentation
bin11101100111010…
…10001010000000
3122022110012100100
432303222022000
51002044014130
640352322400
76104363265
oct1663521200
9568405310
10248423040
111182569a8
126b243400
133c60c9a8
1424dc926c
1516c21c60
hexecea280

248423040 has 384 divisors, whose sum is σ = 945172800. Its totient is φ = 59867136.

The previous prime is 248423033. The next prime is 248423047. The reversal of 248423040 is 40324842.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (248423033) and next prime (248423047).

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 248422995 and 248423013.

It is not an unprimeable number, because it can be changed into a prime (248423047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4210531 + ... + 4210589.

Almost surely, 2248423040 is an apocalyptic number.

248423040 is a gapful number since it is divisible by the number (20) 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 248423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472586400).

248423040 is an abundant number, since it is smaller than the sum of its proper divisors (696749760).

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

248423040 is a wasteful number, since it uses less digits than its factorization.

248423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 248423040 is about 15761.4415584362. The cubic root of 248423040 is about 628.6331667025.

Adding to 248423040 its reverse (40324842), we get a palindrome (288747882).

The spelling of 248423040 in words is "two hundred forty-eight million, four hundred twenty-three thousand, forty".