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248173056 = 293253857
BaseRepresentation
bin11101100101011…
…01001000000000
3122021222111102200
432302231020000
51002013014211
640343113200
76102302415
oct1662551000
9567874380
10248173056
111180a60aa
126b142800
133c552c81
1424d6210c
1516bc2b56
hexecad200

248173056 has 60 divisors (see below), whose sum is σ = 716257542. Its totient is φ = 82722816.

The previous prime is 248173033. The next prime is 248173061. The reversal of 248173056 is 650371842.

It can be written as a sum of positive squares in only one way, i.e., 231526656 + 16646400 = 15216^2 + 4080^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 248173056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22321 + ... + 31536.

Almost surely, 2248173056 is an apocalyptic number.

It is an amenable number.

248173056 is an abundant number, since it is smaller than the sum of its proper divisors (468084486).

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

248173056 is an equidigital number, since it uses as much as digits as its factorization.

248173056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53881 (or 53862 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 248173056 is about 15753.5093233222. The cubic root of 248173056 is about 628.4222348784.

The spelling of 248173056 in words is "two hundred forty-eight million, one hundred seventy-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 53857 107714 161571 215428 323142 430856 484713 646284 861712 969426 1292568 1723424 1938852 2585136 3446848 3877704 5170272 6893696 7755408 10340544 13787392 15510816 20681088 27574784 31021632 41362176 62043264 82724352 124086528 248173056