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1293145248 = 25341328543
BaseRepresentation
bin100110100010011…
…1101010010100000
310100010021120210110
41031010331102200
510122021121443
6332152331320
744021360523
oct11504752240
93303246713
101293145248
11603a4618a
123010a3b40
13177ba7c05
14c3a58bba
15787d9233
hex4d13d4a0

1293145248 has 48 divisors (see below), whose sum is σ = 3477309696. Its totient is φ = 420533760.

The previous prime is 1293145237. The next prime is 1293145291. The reversal of 1293145248 is 8425413921.

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 160336 + ... + 168207.

It is an arithmetic number, because the mean of its divisors is an integer number (72443952).

Almost surely, 21293145248 is an apocalyptic number.

It is an amenable number.

1293145248 is an abundant number, since it is smaller than the sum of its proper divisors (2184164448).

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

1293145248 is a wasteful number, since it uses less digits than its factorization.

1293145248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328597 (or 328589 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 1293145248 is about 35960.3288082854. The cubic root of 1293145248 is about 1089.4712380808.

The spelling of 1293145248 in words is "one billion, two hundred ninety-three million, one hundred forty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 328543 657086 985629 1314172 1971258 2628344 3942516 5256688 7885032 10513376 13470263 15770064 26940526 31540128 40410789 53881052 80821578 107762104 161643156 215524208 323286312 431048416 646572624 1293145248