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248298048 = 2634211227
BaseRepresentation
bin11101100110010…
…11101001000000
3122022012211220000
432303023221000
51002031014143
640345520000
76103333005
oct1663135100
9568184800
10248298048
11118180aa9
126b1a3000
133c597b2b
1424d958ac
1516be9bd3
hexeccba40

248298048 has 140 divisors (see below), whose sum is σ = 742779312. Its totient is φ = 82010880.

The previous prime is 248298031. The next prime is 248298049. The reversal of 248298048 is 840892842.

It is a happy number.

It is a super-2 number, since 2×2482980482 = 123303841281220608, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 248297994 and 248298012.

It is not an unprimeable number, because it can be changed into a prime (248298049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1093711 + ... + 1093937.

Almost surely, 2248298048 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 248298048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371389656).

248298048 is an abundant number, since it is smaller than the sum of its proper divisors (494481264).

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

248298048 is a wasteful number, since it uses less digits than its factorization.

248298048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 248298048 is about 15757.4759400102. The cubic root of 248298048 is about 628.5277184875.

The spelling of 248298048 in words is "two hundred forty-eight million, two hundred ninety-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 211 216 227 288 324 422 432 454 576 633 648 681 844 864 908 1266 1296 1362 1688 1728 1816 1899 2043 2532 2592 2724 3376 3632 3798 4086 5064 5184 5448 5697 6129 6752 7264 7596 8172 10128 10896 11394 12258 13504 14528 15192 16344 17091 18387 20256 21792 22788 24516 30384 32688 34182 36774 40512 43584 45576 47897 49032 60768 65376 68364 73548 91152 95794 98064 121536 130752 136728 143691 147096 182304 191588 196128 273456 287382 294192 364608 383176 392256 431073 546912 574764 588384 766352 862146 1093824 1149528 1176768 1293219 1532704 1724292 2299056 2586438 3065408 3448584 3879657 4598112 5172876 6897168 7759314 9196224 10345752 13794336 15518628 20691504 27588672 31037256 41383008 62074512 82766016 124149024 248298048