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248621056 = 2111737193
BaseRepresentation
bin11101101000110…
…10100000000000
3122022211020222021
432310122200000
51002121333211
640400451224
76106146505
oct1664324000
9568736867
10248621056
11118381752
126b319b14
133c67bb68
142503b4ac
1516c60771
hexed1a800

248621056 has 96 divisors (see below), whose sum is σ = 543390120. Its totient is φ = 113246208.

The previous prime is 248621033. The next prime is 248621059. The reversal of 248621056 is 650126842.

It can be written as a sum of positive squares in 4 ways, for example, as 242861056 + 5760000 = 15584^2 + 2400^2 .

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

It is not an unprimeable number, because it can be changed into a prime (248621059) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1288096 + ... + 1288288.

Almost surely, 2248621056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248621056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271695060).

248621056 is an abundant number, since it is smaller than the sum of its proper divisors (294769064).

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

248621056 is a wasteful number, since it uses less digits than its factorization.

248621056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 248621056 is about 15767.7219660926. The cubic root of 248621056 is about 628.8001484848.

Adding to 248621056 its reverse (650126842), we get a palindrome (898747898).

The spelling of 248621056 in words is "two hundred forty-eight million, six hundred twenty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 128 136 148 193 256 272 296 386 512 544 592 629 772 1024 1088 1184 1258 1544 2048 2176 2368 2516 3088 3281 4352 4736 5032 6176 6562 7141 8704 9472 10064 12352 13124 14282 17408 18944 20128 24704 26248 28564 34816 37888 40256 49408 52496 57128 75776 80512 98816 104992 114256 121397 161024 197632 209984 228512 242794 322048 395264 419968 457024 485588 644096 839936 914048 971176 1288192 1679872 1828096 1942352 3359744 3656192 3884704 6719488 7312384 7769408 14624768 15538816 31077632 62155264 124310528 248621056