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248826048 = 2634173433
BaseRepresentation
bin11101101010011…
…00100011000000
3122100012200011120
432311030203000
51002144413143
640405112240
76110662242
oct1665144300
9570180146
10248826048
11118501769
126b3b8680
133c721263
1425092092
1516ca1383
hexed4c8c0

248826048 has 112 divisors (see below), whose sum is σ = 685226976. Its totient is φ = 79626240.

The previous prime is 248826047. The next prime is 248826077. The reversal of 248826048 is 840628842.

It is not an unprimeable number, because it can be changed into a prime (248826041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 574440 + ... + 574872.

It is an arithmetic number, because the mean of its divisors is an integer number (6118098).

Almost surely, 2248826048 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 248826048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342613488).

248826048 is an abundant number, since it is smaller than the sum of its proper divisors (436400928).

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

248826048 is a wasteful number, since it uses less digits than its factorization.

248826048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 248826048 is about 15774.2209950286. The cubic root of 248826048 is about 628.9729195712.

The spelling of 248826048 in words is "two hundred forty-eight million, eight hundred twenty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 73 82 96 123 146 164 192 219 246 292 328 433 438 492 584 656 866 876 984 1168 1299 1312 1732 1752 1968 2336 2598 2624 2993 3464 3504 3936 4672 5196 5986 6928 7008 7872 8979 10392 11972 13856 14016 17753 17958 20784 23944 27712 31609 35506 35916 41568 47888 53259 63218 71012 71832 83136 94827 95776 106518 126436 142024 143664 189654 191552 213036 252872 284048 287328 379308 426072 505744 568096 574656 758616 852144 1011488 1136192 1295969 1517232 1704288 2022976 2591938 3034464 3408576 3887907 5183876 6068928 7775814 10367752 15551628 20735504 31103256 41471008 62206512 82942016 124413024 248826048