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248795240 = 23519731573
BaseRepresentation
bin11101101010001…
…01000001101000
3122100011002220112
432311011001220
51002142421430
640404313452
76110503361
oct1665050150
9570132815
10248795240
11118490601
126b3a2888
133c710225
1425084b68
1516c97195
hexed45068

248795240 has 32 divisors (see below), whose sum is σ = 562648680. Its totient is φ = 99009792.

The previous prime is 248795227. The next prime is 248795273. The reversal of 248795240 is 42597842.

248795240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 241429444 + 7365796 = 15538^2 + 2714^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7907 + ... + 23666.

Almost surely, 2248795240 is an apocalyptic number.

248795240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248795240 is an abundant number, since it is smaller than the sum of its proper divisors (313853440).

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

248795240 is a wasteful number, since it uses less digits than its factorization.

248795240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31781 (or 31777 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 248795240 is about 15773.2444348016. The cubic root of 248795240 is about 628.9469600737.

The spelling of 248795240 in words is "two hundred forty-eight million, seven hundred ninety-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 197 394 788 985 1576 1970 3940 7880 31573 63146 126292 157865 252584 315730 631460 1262920 6219881 12439762 24879524 31099405 49759048 62198810 124397620 248795240