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248074848 = 25327217579
BaseRepresentation
bin11101100100101…
…01001001100000
3122021210111201100
432302111021200
51002001343343
640341034400
76101413200
oct1662251140
9567714640
10248074848
1111803933a
126b0b5a00
133c51a368
1424d38400
1516ba39d3
hexec95260

248074848 has 108 divisors (see below), whose sum is σ = 820687140. Its totient is φ = 70874496.

The previous prime is 248074843. The next prime is 248074859. The reversal of 248074848 is 848470842.

It is a happy number.

It is a super-2 number, since 2×2480748482 = 123082260420446208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248074843) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5323 + ... + 22901.

It is an arithmetic number, because the mean of its divisors is an integer number (7598955).

Almost surely, 2248074848 is an apocalyptic number.

248074848 is a gapful number since it is divisible by the number (28) 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 248074848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410343570).

248074848 is an abundant number, since it is smaller than the sum of its proper divisors (572612292).

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

248074848 is a wasteful number, since it uses less digits than its factorization.

248074848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17609 (or 17591 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 248074848 is about 15750.3919951219. The cubic root of 248074848 is about 628.3393300505.

The spelling of 248074848 in words is "two hundred forty-eight million, seventy-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 7056 14112 17579 35158 52737 70316 105474 123053 140632 158211 210948 246106 281264 316422 369159 421896 492212 562528 632844 738318 843792 861371 984424 1107477 1265688 1476636 1687584 1722742 1968848 2214954 2531376 2584113 2953272 3445484 3937696 4429908 5062752 5168226 5906544 6890968 7752339 8859816 10336452 11813088 13781936 15504678 17719632 20672904 27563872 31009356 35439264 41345808 62018712 82691616 124037424 248074848