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248730096 = 24323225299
BaseRepresentation
bin11101101001101…
…01000111110000
3122100000210112210
432310311013300
51002133330341
640403052120
76110112426
oct1664650760
9570023483
10248730096
1111844666a
126b371040
133c6b9694
1425069116
1516c82c16
hexed351f0

248730096 has 40 divisors (see below), whose sum is σ = 670492800. Its totient is φ = 79304896.

The previous prime is 248730091. The next prime is 248730127. The reversal of 248730096 is 690037842.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248730091) 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, 111546 + ... + 113753.

It is an arithmetic number, because the mean of its divisors is an integer number (16762320).

Almost surely, 2248730096 is an apocalyptic number.

It is an amenable number.

248730096 is an abundant number, since it is smaller than the sum of its proper divisors (421762704).

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

248730096 is a wasteful number, since it uses less digits than its factorization.

248730096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225333 (or 225327 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 248730096 is about 15771.1792837441. The cubic root of 248730096 is about 628.8920612510.

The spelling of 248730096 in words is "two hundred forty-eight million, seven hundred thirty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 225299 450598 675897 901196 1351794 1802392 2703588 3604784 5181877 5407176 10363754 10814352 15545631 20727508 31091262 41455016 62182524 82910032 124365048 248730096