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248302728 = 23323448649
BaseRepresentation
bin11101100110011…
…00110010001000
3122022020002022100
432303030302020
51002031141403
640345553400
76103352442
oct1663146210
9568202270
10248302728
11118184573
126b1a5860
133c599cbb
1424d97492
1516beb2a3
hexecccc88

248302728 has 24 divisors (see below), whose sum is σ = 672486750. Its totient is φ = 82767552.

The previous prime is 248302723. The next prime is 248302729. The reversal of 248302728 is 827203842.

It can be written as a sum of positive squares in only one way, i.e., 236482884 + 11819844 = 15378^2 + 3438^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 248302692 and 248302701.

It is not an unprimeable number, because it can be changed into a prime (248302723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1724253 + ... + 1724396.

Almost surely, 2248302728 is an apocalyptic number.

It is an amenable number.

248302728 is an abundant number, since it is smaller than the sum of its proper divisors (424184022).

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

248302728 is a wasteful number, since it uses less digits than its factorization.

248302728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3448661 (or 3448654 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 248302728 is about 15757.6244402511. The cubic root of 248302728 is about 628.5316673590.

The spelling of 248302728 in words is "two hundred forty-eight million, three hundred two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3448649 6897298 10345947 13794596 20691894 27589192 31037841 41383788 62075682 82767576 124151364 248302728