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248016048 = 24372105449
BaseRepresentation
bin11101100100001…
…10110010110000
3122021200112001120
432302012302300
51001443003143
640335502240
76101046600
oct1662066260
9567615046
10248016048
11117aa9145
126b087980
133c4c9677
1424d20c00
1516b91383
hexec86cb0

248016048 has 60 divisors (see below), whose sum is σ = 745320600. Its totient is φ = 70861056.

The previous prime is 248016037. The next prime is 248016053. The reversal of 248016048 is 840610842.

248016048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 50373 + ... + 55076.

It is an arithmetic number, because the mean of its divisors is an integer number (12422010).

Almost surely, 2248016048 is an apocalyptic number.

248016048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

248016048 is an abundant number, since it is smaller than the sum of its proper divisors (497304552).

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

248016048 is a wasteful number, since it uses less digits than its factorization.

248016048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105474 (or 105461 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 248016048 is about 15748.5252642906. The cubic root of 248016048 is about 628.2896820346.

It can be divided in two parts, 2480 and 16048, that added together give a triangular number (18528 = T192).

The spelling of 248016048 in words is "two hundred forty-eight million, sixteen thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 105449 210898 316347 421796 632694 738143 843592 1265388 1476286 1687184 2214429 2530776 2952572 4428858 5061552 5167001 5905144 8857716 10334002 11810288 15501003 17715432 20668004 31002006 35430864 41336008 62004012 82672016 124008024 248016048