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248105814 = 231117921001
BaseRepresentation
bin11101100100111…
…00101101010110
3122021212002012020
432302130231112
51002003341224
640341434010
76101602365
oct1662345526
9567762166
10248105814
1111805a630
126b10b906
133c52b498
1424d457dc
1516bacc79
hexec9cb56

248105814 has 32 divisors (see below), whose sum is σ = 544371840. Its totient is φ = 74760000.

The previous prime is 248105791. The next prime is 248105821. The reversal of 248105814 is 418501842.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1314 + ... + 22314.

It is an arithmetic number, because the mean of its divisors is an integer number (17011620).

Almost surely, 2248105814 is an apocalyptic number.

248105814 is an abundant number, since it is smaller than the sum of its proper divisors (296266026).

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

248105814 is a wasteful number, since it uses less digits than its factorization.

248105814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21196.

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 248105814 is about 15751.3749876003. The cubic root of 248105814 is about 628.3654731633.

The spelling of 248105814 in words is "two hundred forty-eight million, one hundred five thousand, eight hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 179 358 537 1074 1969 3938 5907 11814 21001 42002 63003 126006 231011 462022 693033 1386066 3759179 7518358 11277537 22555074 41350969 82701938 124052907 248105814