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248052978 = 23273311607
BaseRepresentation
bin11101100100011…
…11110011110010
3122021202101201100
432302033303302
51002000143403
640340345230
76101262345
oct1662176362
9567671640
10248052978
11118023968
126b0a5216
133c510414
1424d3045c
1516b9c2a3
hexec8fcf2

248052978 has 48 divisors (see below), whose sum is σ = 547462656. Its totient is φ = 81155520.

The previous prime is 248052859. The next prime is 248052983. The reversal of 248052978 is 879250842.

248052978 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 23 ways as a sum of consecutive naturals, for example, 408351 + ... + 408957.

It is an arithmetic number, because the mean of its divisors is an integer number (11405472).

Almost surely, 2248052978 is an apocalyptic number.

248052978 is an abundant number, since it is smaller than the sum of its proper divisors (299409678).

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

248052978 is a wasteful number, since it uses less digits than its factorization.

248052978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 248052978 is about 15749.6977113848. The cubic root of 248052978 is about 628.3208649447.

The spelling of 248052978 in words is "two hundred forty-eight million, fifty-two thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 18 73 146 219 311 438 607 622 657 933 1214 1314 1821 1866 2799 3642 5463 5598 10926 22703 44311 45406 68109 88622 132933 136218 188777 204327 265866 377554 398799 408654 566331 797598 1132662 1698993 3397986 13780721 27561442 41342163 82684326 124026489 248052978