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248795320 = 23510161583
BaseRepresentation
bin11101101010001…
…01000010111000
3122100011010000111
432311011002320
51002142422240
640404314104
76110503534
oct1665050270
9570133014
10248795320
11118490674
126b3a2934
133c710287
1425084bc4
1516c971ea
hexed450b8

248795320 has 32 divisors (see below), whose sum is σ = 565341120. Its totient is φ = 98531200.

The previous prime is 248795311. The next prime is 248795333. The reversal of 248795320 is 23597842.

It is a super-2 number, since 2×2487953202 = 123798222507804800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 26752 + ... + 34831.

It is an arithmetic number, because the mean of its divisors is an integer number (17666910).

Almost surely, 2248795320 is an apocalyptic number.

248795320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248795320 is an abundant number, since it is smaller than the sum of its proper divisors (316545800).

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

248795320 is a wasteful number, since it uses less digits than its factorization.

248795320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61695 (or 61691 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 248795320 is about 15773.2469707413. The cubic root of 248795320 is about 628.9470274862.

The spelling of 248795320 in words is "two hundred forty-eight million, seven hundred ninety-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 61583 123166 246332 307915 492664 615830 1231660 2463320 6219883 12439766 24879532 31099415 49759064 62198830 124397660 248795320