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248111380 = 225111318609
BaseRepresentation
bin11101100100111…
…10000100010100
3122021212100211101
432302132010110
51002004031010
640341515444
76101624536
oct1662360424
9567770741
10248111380
11118063830
126b112b84
133c530b8a
1424d47856
1516bae73a
hexec9e114

248111380 has 48 divisors (see below), whose sum is σ = 572806080. Its totient is φ = 89523200.

The previous prime is 248111371. The next prime is 248111411. The reversal of 248111380 is 83111842.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 24516 + ... + 33124.

It is an arithmetic number, because the mean of its divisors is an integer number (11933460).

Almost surely, 2248111380 is an apocalyptic number.

248111380 is a gapful number since it is divisible by the number (20) 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 248111380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286403040).

248111380 is an abundant number, since it is smaller than the sum of its proper divisors (324694700).

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

248111380 is a wasteful number, since it uses less digits than its factorization.

248111380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8760 (or 8758 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 248111380 is about 15751.5516695975. The cubic root of 248111380 is about 628.3701720403.

It can be divided in two parts, 2481 and 11380, that added together give a triangular number (13861 = T166).

The spelling of 248111380 in words is "two hundred forty-eight million, one hundred eleven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 131 220 262 524 655 1310 1441 2620 2882 5764 7205 8609 14410 17218 28820 34436 43045 86090 94699 172180 189398 378796 473495 946990 1127779 1893980 2255558 4511116 5638895 11277790 12405569 22555580 24811138 49622276 62027845 124055690 248111380