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248030256 = 24319312283
BaseRepresentation
bin11101100100010…
…10010000110000
3122021201020112210
432302022100300
51001443432011
640340052120
76101136165
oct1662122060
9567636483
10248030256
11118008891
126b094040
133c502c86
1424d2606c
1516b956a6
hexec8a430

248030256 has 120 divisors (see below), whose sum is σ = 699389760. Its totient is φ = 75530880.

The previous prime is 248030249. The next prime is 248030297. The reversal of 248030256 is 652030842.

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 23 ways as a sum of consecutive naturals, for example, 876291 + ... + 876573.

It is an arithmetic number, because the mean of its divisors is an integer number (5828248).

Almost surely, 2248030256 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 248030256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349694880).

248030256 is an abundant number, since it is smaller than the sum of its proper divisors (451359504).

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

248030256 is a wasteful number, since it uses less digits than its factorization.

248030256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 248030256 is about 15748.9763476869. The cubic root of 248030256 is about 628.3016793353.

The spelling of 248030256 in words is "two hundred forty-eight million, thirty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 152 186 228 248 283 304 372 456 496 566 589 744 849 912 961 1132 1178 1488 1698 1767 1922 2264 2356 2883 3396 3534 3844 4528 4712 5377 5766 6792 7068 7688 8773 9424 10754 11532 13584 14136 15376 16131 17546 18259 21508 23064 26319 28272 32262 35092 36518 43016 46128 52638 54777 64524 70184 73036 86032 105276 109554 129048 140368 146072 166687 210552 219108 258096 271963 292144 333374 421104 438216 500061 543926 666748 815889 876432 1000122 1087852 1333496 1631778 2000244 2175704 2666992 3263556 4000488 4351408 5167297 6527112 8000976 10334594 13054224 15501891 20669188 31003782 41338376 62007564 82676752 124015128 248030256