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248081232 = 24376611117
BaseRepresentation
bin11101100100101…
…10101101010000
3122021210211110210
432302112231100
51002002044412
640341124120
76101440620
oct1662265520
9567724423
10248081232
11118043113
126b0b9640
133c520239
1424d3a880
1516ba583c
hexec96b50

248081232 has 80 divisors (see below), whose sum is σ = 734195072. Its totient is φ = 70709760.

The previous prime is 248081231. The next prime is 248081257. The reversal of 248081232 is 232180842.

248081232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 248081232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248081231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221538 + ... + 222654.

Almost surely, 2248081232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248081232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367097536).

248081232 is an abundant number, since it is smaller than the sum of its proper divisors (486113840).

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

248081232 is a wasteful number, since it uses less digits than its factorization.

248081232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 248081232 is about 15750.5946554408. The cubic root of 248081232 is about 628.3447199344.

The spelling of 248081232 in words is "two hundred forty-eight million, eighty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 661 1117 1322 1983 2234 2644 3351 3966 4468 4627 5288 6702 7819 7932 8936 9254 10576 13404 13881 15638 15864 17872 18508 23457 26808 27762 31276 31728 37016 46914 53616 55524 62552 74032 93828 111048 125104 187656 222096 375312 738337 1476674 2215011 2953348 4430022 5168359 5906696 8860044 10336718 11813392 15505077 17720088 20673436 31010154 35440176 41346872 62020308 82693744 124040616 248081232