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248055648 = 2534360091
BaseRepresentation
bin11101100100100…
…00011101100000
3122021202112101020
432302100131200
51002000240043
640340405440
76101303211
oct1662203540
9567675336
10248055648
11118025975
126b0a6880
133c5116b9
1424d31408
1516b9ce83
hexec90760

248055648 has 48 divisors (see below), whose sum is σ = 666300096. Its totient is φ = 80760960.

The previous prime is 248055631. The next prime is 248055649. The reversal of 248055648 is 846550842.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248055649) 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, 25918 + ... + 34173.

It is an arithmetic number, because the mean of its divisors is an integer number (13881252).

Almost surely, 2248055648 is an apocalyptic number.

It is an amenable number.

248055648 is an abundant number, since it is smaller than the sum of its proper divisors (418244448).

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

248055648 is a wasteful number, since it uses less digits than its factorization.

248055648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60147 (or 60139 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 248055648 is about 15749.7824746883. The cubic root of 248055648 is about 628.3231193162.

The spelling of 248055648 in words is "two hundred forty-eight million, fifty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 60091 120182 180273 240364 360546 480728 721092 961456 1442184 1922912 2583913 2884368 5167826 5768736 7751739 10335652 15503478 20671304 31006956 41342608 62013912 82685216 124027824 248055648