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248434944 = 283615303
BaseRepresentation
bin11101100111011…
…01000100000000
3122022110210200020
432303231010000
51002044404234
640352453440
76104443062
oct1663550400
9568423606
10248434944
1111826493a
126b24a280
133c615234
1424dcd732
1516c25549
hexeced100

248434944 has 72 divisors (see below), whose sum is σ = 672165312. Its totient is φ = 81438720.

The previous prime is 248434943. The next prime is 248434973. The reversal of 248434944 is 449434842.

It is a junction number, because it is equal to n+sod(n) for n = 248434896 and 248434905.

It is not an unprimeable number, because it can be changed into a prime (248434943) 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, 44197 + ... + 49499.

Almost surely, 2248434944 is an apocalyptic number.

248434944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248434944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336082656).

248434944 is an abundant number, since it is smaller than the sum of its proper divisors (423730368).

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

248434944 is an equidigital number, since it uses as much as digits as its factorization.

248434944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5383 (or 5369 counting only the distinct ones).

The product of its digits is 442368, while the sum is 42.

The square root of 248434944 is about 15761.8191843454. The cubic root of 248434944 is about 628.6432075448.

The spelling of 248434944 in words is "two hundred forty-eight million, four hundred thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 732 768 976 1464 1952 2928 3904 5303 5856 7808 10606 11712 15616 15909 21212 23424 31818 42424 46848 63636 84848 127272 169696 254544 323483 339392 509088 646966 678784 970449 1018176 1293932 1357568 1940898 2036352 2587864 3881796 4072704 5175728 7763592 10351456 15527184 20702912 31054368 41405824 62108736 82811648 124217472 248434944