Search a number
-
+
248051284 = 2213172771013
BaseRepresentation
bin11101100100011…
…11011001010100
3122021202022101121
432302033121110
51002000120114
640340333324
76101254405
oct1662173124
9567668347
10248051284
11118022668
126b0a4244
133c50c710
1424d2d9ac
1516b9ba24
hexec8f654

248051284 has 48 divisors (see below), whose sum is σ = 497257488. Its totient is φ = 107255808.

The previous prime is 248051273. The next prime is 248051303. The reversal of 248051284 is 482150842.

It can be written as a sum of positive squares in 8 ways, for example, as 78322500 + 169728784 = 8850^2 + 13028^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 244362 + ... + 245374.

It is an arithmetic number, because the mean of its divisors is an integer number (10359531).

Almost surely, 2248051284 is an apocalyptic number.

It is an amenable number.

248051284 is an abundant number, since it is smaller than the sum of its proper divisors (249206204).

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

248051284 is a wasteful number, since it uses less digits than its factorization.

248051284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The square root of 248051284 is about 15749.6439324830. The cubic root of 248051284 is about 628.3194346347.

The spelling of 248051284 in words is "two hundred forty-eight million, fifty-one thousand, two hundred eighty-four".

Divisors: 1 2 4 13 17 26 34 52 68 221 277 442 554 884 1013 1108 2026 3601 4052 4709 7202 9418 13169 14404 17221 18836 26338 34442 52676 61217 68884 122434 223873 244868 280601 447746 561202 895492 1122404 3647813 4770217 7295626 9540434 14591252 19080868 62012821 124025642 248051284