Search a number
-
+
248380580 = 225710631669
BaseRepresentation
bin11101100110111…
…11110010100100
3122022101001002202
432303133302210
51002041134310
640351354032
76104125430
oct1663376244
9568331082
10248380580
11118228008
126b222918
133c5c6576
1424db79c0
1516c143a5
hexecdfca4

248380580 has 48 divisors (see below), whose sum is σ = 597031680. Its totient is φ = 85027968.

The previous prime is 248380567. The next prime is 248380607. The reversal of 248380580 is 85083842.

It is a super-3 number, since 3×2483805803 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 15 ways as a sum of consecutive naturals, for example, 147986 + ... + 149654.

It is an arithmetic number, because the mean of its divisors is an integer number (12438160).

Almost surely, 2248380580 is an apocalyptic number.

248380580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248380580 is an abundant number, since it is smaller than the sum of its proper divisors (348651100).

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

248380580 is a wasteful number, since it uses less digits than its factorization.

248380580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 248380580 is about 15760.0945428636. The cubic root of 248380580 is about 628.5973497280.

The spelling of 248380580 in words is "two hundred forty-eight million, three hundred eighty thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1063 1669 2126 3338 4252 5315 6676 7441 8345 10630 11683 14882 16690 21260 23366 29764 33380 37205 46732 58415 74410 116830 148820 233660 1774147 3548294 7096588 8870735 12419029 17741470 24838058 35482940 49676116 62095145 124190290 248380580