Search a number
-
+
248935080 = 233517122027
BaseRepresentation
bin11101101011001…
…11001010101000
3122100102012201210
432311213022220
51002211410310
640411313120
76111625152
oct1665471250
9570365653
10248935080
11118576679
126b44b7a0
133c75ba84
14250bdad2
1516cc3820
hexed672a8

248935080 has 64 divisors (see below), whose sum is σ = 790741440. Its totient is φ = 62477312.

The previous prime is 248935079. The next prime is 248935087. The reversal of 248935080 is 80539842.

It is a happy number.

248935080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (248935087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58974 + ... + 63053.

It is an arithmetic number, because the mean of its divisors is an integer number (12355335).

Almost surely, 2248935080 is an apocalyptic number.

248935080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248935080 is an abundant number, since it is smaller than the sum of its proper divisors (541806360).

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

248935080 is a wasteful number, since it uses less digits than its factorization.

248935080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122058 (or 122054 counting only the distinct ones).

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

The square root of 248935080 is about 15777.6766350436. The cubic root of 248935080 is about 629.0647751221.

The spelling of 248935080 in words is "two hundred forty-eight million, nine hundred thirty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 122027 244054 366081 488108 610135 732162 976216 1220270 1464324 1830405 2074459 2440540 2928648 3660810 4148918 4881080 6223377 7321620 8297836 10372295 12446754 14643240 16595672 20744590 24893508 31116885 41489180 49787016 62233770 82978360 124467540 248935080