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248106978 = 232719372801
BaseRepresentation
bin11101100100111…
…00111111100010
3122021212010210100
432302130333202
51002003410403
640341443230
76101605650
oct1662347742
9567763710
10248106978
11118060499
126b110516
133c52bb82
1424d45dd0
1516bad2a3
hexec9cfe2

248106978 has 96 divisors (see below), whose sum is σ = 664410240. Its totient is φ = 65318400.

The previous prime is 248106931. The next prime is 248107019. The reversal of 248106978 is 879601842.

248106978 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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87178 + ... + 89978.

It is an arithmetic number, because the mean of its divisors is an integer number (6920940).

Almost surely, 2248106978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248106978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332205120).

248106978 is an abundant number, since it is smaller than the sum of its proper divisors (416303262).

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

248106978 is a wasteful number, since it uses less digits than its factorization.

248106978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 248106978 is about 15751.4119367122. The cubic root of 248106978 is about 628.3664558304.

The spelling of 248106978 in words is "two hundred forty-eight million, one hundred six thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 37 38 42 57 63 74 111 114 126 133 171 222 259 266 333 342 399 518 666 703 777 798 1197 1406 1554 2109 2331 2394 2801 4218 4662 4921 5602 6327 8403 9842 12654 14763 16806 19607 25209 29526 39214 44289 50418 53219 58821 88578 103637 106438 117642 159657 176463 207274 310911 319314 352926 372533 478971 621822 725459 745066 932733 957942 1117599 1450918 1865466 1969103 2176377 2235198 3352797 3938206 4352754 5907309 6529131 6705594 11814618 13058262 13783721 17721927 27567442 35443854 41351163 82702326 124053489 248106978