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248742648 = 233271144867
BaseRepresentation
bin11101101001110…
…00001011111000
3122100001102202200
432310320023320
51002134231043
640403230200
76110164140
oct1664701370
9570042680
10248742648
11118455040
126b378360
133c6c22cb
142506d920
1516c867d3
hexed382f8

248742648 has 96 divisors (see below), whose sum is σ = 839928960. Its totient is φ = 64607040.

The previous prime is 248742647. The next prime is 248742653. The reversal of 248742648 is 846247842.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248742647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16890 + ... + 27977.

It is an arithmetic number, because the mean of its divisors is an integer number (8749260).

Almost surely, 2248742648 is an apocalyptic number.

248742648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

248742648 is an abundant number, since it is smaller than the sum of its proper divisors (591186312).

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

248742648 is a wasteful number, since it uses less digits than its factorization.

248742648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44897 (or 44890 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The square root of 248742648 is about 15771.5772197964. The cubic root of 248742648 is about 628.9026399472.

The spelling of 248742648 in words is "two hundred forty-eight million, seven hundred forty-two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5544 44867 89734 134601 179468 269202 314069 358936 403803 493537 538404 628138 807606 942207 987074 1076808 1256276 1480611 1615212 1884414 1974148 2512552 2826621 2961222 3230424 3454759 3768828 3948296 4441833 5653242 5922444 6909518 7537656 8883666 10364277 11306484 11844888 13819036 17767332 20728554 22612968 27638072 31092831 35534664 41457108 62185662 82914216 124371324 248742648